{"id":43,"date":"2019-09-17T09:51:29","date_gmt":"2019-09-17T09:51:29","guid":{"rendered":"https:\/\/francescperera.wordpress.com\/?page_id=43"},"modified":"2026-03-23T09:08:09","modified_gmt":"2026-03-23T09:08:09","slug":"publications","status":"publish","type":"page","link":"https:\/\/mat.uab.cat\/web\/perera\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n
On the arXiv
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On MathScinet
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In Progress<\/h3>\n\n\n\n
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  1. Almost elementary dynamical systems in measure and the small boundary property<\/em> (with Joan Bosa, Jianchao Wu, and Joachim Zacharias), 70 pp.<\/li>\n<\/ol>\n\n\n\n
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    Preprints<\/h3>\n\n\n\n
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    1. Centrally pure C*-algebras (with Hannes Thiel and Eduard Vilalta), arXiv: 2512.17261<\/a><\/li>\n\n\n\n
    2. Pure C*-algebras<\/em> (with Ramon Antoine, Hannes Thiel, and Eduard Vilalta), 18 pp. arXiv: 2406.11052v2<\/a><\/li>\n<\/ol>\n\n\n\n
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      Forthcoming<\/h3>\n\n\n\n
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      1. Extensions of pure C*-algebras (with Hannes Thiel and Eduard Vilalta), 16 pp., to appear in Transactions of the American Mathematical Society<\/strong>, arXiv: 2506.10529<\/a><\/li>\n\n\n\n
      2. Ideals, quotients, and continuity of the Cuntz semigroup for rings <\/em>(with Ramon Antoine, Pere Ara, Joan Bosa, and Eduard Vilalta), 39 pp., to appear in Communications in Contemporary Mathematics<\/strong>, arXiv: 2411.00507<\/a><\/li>\n<\/ol>\n\n\n\n
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        Publications<\/h3>\n\n\n\n
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        1. Levels of cancellation for monoids and modules<\/em> (with Pere Ara, Ken Goodearl, Pace P. Nielsen, Kevin C. O’Meara, and Enric Pardo), Journal of the Australian Mathematical Society<\/strong>, 120 (2026), 141-182.
          doi:           10.1017\/S144678872510133X<\/a> arXiv: 2409.06880<\/a><\/li>\n\n\n\n
        2. The modern theory of Cuntz semigroups of C*-algebras<\/em> (with Eusebio Gardella), EMS Surveys in Mathematical Sciences<\/strong>, 13 (2026), 133-214.
          doi:           10.4171\/EMSS\/84<\/a> arXiv:2212.02290v2<\/a><\/li>\n\n\n\n
        3. The separativity problem in terms of varieties and diagonal reduction<\/em> (with Pere Ara, Ken R. Goodearl, Pace P. Nielsen, and Enric Pardo), 28 pp., Algebraic Structures and Applications , in Proceedings of NonCommutative Rings and their Applications, VIII (A. Laghribi and A. Leroy, eds.), Contemporary Mathematics<\/strong>, 826 (2025), 285-314.
          doi:           10.1090\/conm\/826<\/a> arXiv: 2403.11837<\/a><\/li>\n\n\n\n
        4. The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups<\/em> (with Joan Bosa, Jianchao Wu, and Joachim Zacharias), Linear Algebra and Its Applications<\/strong>, 725 (2025), 248-308.
          doi:           10.1016\/j.laa.2025.07.006<\/a> arXiv: 2409.16274<\/a><\/li>\n\n\n\n
        5. The Cuntz semigroup of a ring<\/em> (with Ramon Antoine, Pere Ara, Joan Bosa, and Eduard Vilalta), Selecta Mathematica New Series<\/strong>, 31:6 (2025), 46 pp.
          doi:           10.1007\/s00029-024-01002-9<\/a> arXiv:2307.07266v1<\/a><\/li>\n\n\n\n
        6. Regular ring properties degraded through inverse limits<\/em> (with Pere Ara, Ken R. Goodearl, Kevin C. O’Meara, and Enric Pardo), Journal of Algebra<\/strong>, 664, Part B (2025), 365-397.
          doi:           10.106\/j.jalgebra.2024.11.006<\/a> arXiv: 2405.06837v2<\/a><\/li>\n\n\n\n
        7. Traces on ultrapowers of C*-algebras<\/em> (with Ramon Antoine, Leonel Robert, and Hannes Thiel), Journal of Functional Analysis<\/strong>, 286 (2024), 110341.
          doi:           10.1016\/j.jfa.2024.110341<\/a> arXiv: 2303.01929v2<\/a><\/li>\n\n\n\n
        8. C*-algebras of stable rank one and their Cuntz semigroups<\/em> (with Ramon Antoine, Leonel Robert, and Hannes Thiel), Duke Mathematical Journal<\/strong>, 171 (2022), 33-99.
          doi:           10.1215\/00127094-2021-0009<\/a> arXiv: 1809.03984<\/a><\/li>\n\n\n\n
        9. Edwards’ condition for Quasitraces on C*-algebras<\/em> (with Ramon Antoine, Leonel Robert, and Hannes Thiel), Proceedings of the Royal Society of Edinburgh<\/strong>, Section A, 151 (2021), 525-547.
          doi:           10.1017\/prm.2020.26<\/a> arXiv: 1909.12787<\/a><\/li>\n\n\n\n
        10. Cuntz semigroups of ultraproduct C*-algebras<\/em> (with Ramon Antoine and Hannes Thiel), Journal of the London Mathematical Society<\/strong>, 102 (2020), 994-1029.
          doi:           10.1112\/jlms.12343<\/a> arXiv: 1905.03208<\/a>.<\/li>\n\n\n\n
        11. Abstract bivariant Cuntz semigroups<\/em> (with Ramon Antoine and Hannes Thiel), International Mathematics Research Notices<\/strong>, no. 17 (2020), 5342-5386.
          doi:           10.1093\/imrn\/rny143<\/a> arXiv:1702.01588<\/a>.<\/li>\n\n\n\n
        12. Abstract bivariant Cuntz semigroups II<\/em> (with Ramon Antoine and Hannes Thiel), Forum Mathematicum<\/strong>, 32 (2020), 45-62.
          doi:           10.1515\/forum-2018-0285<\/a> arXiv:1811.08689<\/a>.<\/li>\n\n\n\n
        13. Perforation conditions and almost algebraic order in Cuntz semigroups<\/em> (with Ramon Antoine and Henning Petzka), Proceedings of the Royal Society of Edinburgh, Section A<\/strong>, 148 (2018), 669-702.
          doi:           10.1017\/S0308210518000069<\/a> arXiv:1604.06718<\/a>.<\/li>\n\n\n\n
        14. Tensor products and regularity properties of Cuntz semigroups (with Ramon Antoine and Hannes Thiel), Memoirs of the American Mathematical Society<\/strong>, 251 (2018), no. 1199, 199 pp.
          doi:           10.1090\/memo\/1199<\/a> arXiv: 1410.0483<\/a>.<\/li>\n\n\n\n
        15. The Cuntz semigroup and stability of close C*-algebras<\/em> (with Andrew S. Toms, Stuart White, and Wilhelm Winter), Analysis and PDE<\/strong>, 7 (2014), 929-952.
          doi:           10.2140\/apde.2014.7.929<\/a> arXiv: 1210.4533<\/a>.<\/li>\n\n\n\n
        16. Recovering the Elliott invariant from the Cuntz semigroup<\/em> (with Ramon Antoine, Marius Dadarlat, and Luis Santiago), Transactions of the American Mathematical Society<\/strong>, 366 (2014), no. 6, 2907-2922.
          doi:           10.1090\/S0002-9947-2014-05833-9<\/a> arXiv: 1109.5803<\/a>.<\/li>\n\n\n\n
        17. Geometric structure of dimension functions of certain continuous fields<\/em> (with Ramon Antoine, Joan Bosa, and Henning Petzka), Journal of Functional Analysis<\/strong>, 266 (2014), no. 4, 2403-2423.
          doi:           10.1016\/j.jfa.2013.09.013<\/a> arXiv: 1305.7495<\/a>.<\/li>\n\n\n\n
        18. The Cuntz semigroup of continuous fields<\/em> (with Ramon Antoine and Joan Bosa), Indiana University Mathematics Journal<\/strong>, 62 (2013), no. 4, 1105-1131.
          doi:           10.1512\/iumj.2013.62.5071<\/a> arXiv: 1205.6608<\/a>.<\/li>\n\n\n\n
        19. The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property<\/em> (with Cornel Pasnicu), Publicacions Matem\u00e0tiques<\/strong>, 57 (2013), no. 2, 359-377.
          doi:           10.5565\/PUBLMAT_5723_04<\/a> arXiv: 1012.5216<\/a>.<\/li>\n\n\n\n
        20. The corona factorization property, stability, and the Cuntz semigroup of a C*-algebra<\/em> (with Eduard Ortega and Mikael R\u00f8rdam), International Mathematics Research Notices<\/strong>, 2012, no. 1, 34-66.
          doi:           10.1093\/imrn\/rnr013<\/a> arXiv: 0903.2917<\/a>.<\/li>\n\n\n\n
        21. Completions of monoids with applications to the Cuntz semigroup<\/em> (with Ramon Antoine and Joan Bosa), International Journal of Mathematics<\/strong>, 22 (2011), no. 6, 837-861.
          doi:           10.1142\/S0129167X11007057<\/a> arXiv: 1003.2874<\/a>.<\/li>\n\n\n\n
        22. The corona factorization property and refinement monoids<\/em> (with Eduard Ortega and Mikael R\u00f8rdam), Transactions of the American Mathematical Society<\/strong>, 363 (2011), no. 9, 4505-4525.
          doi:           10.1090\/S0002-9947-2011-05480-2<\/a> arXiv: 0904.0541<\/a>.<\/li>\n\n\n\n
        23. Pullbacks, C(X)-algebras, and their Cuntz semigroup<\/em> (with Ramon Antoine and Luis Santiago), Journal of Functional Analysis<\/strong>, 260 (2011), no. 10, 2844-2880.
          doi:           10.1016\/j.jfa.2011.02.016<\/a> arXiv: 1101.4776<\/a>.<\/li>\n\n\n\n
        24. Appendix: basic definitions and results for operator algebras<\/em> (with Pere Ara and Fernando Lled\u00f3), in Aspects of operator algebras and applications, 157-168, Contemporary Mathematics,<\/strong> 534, American Mathematical Society, Providence, RI, 2011.
          doi:           10.1090\/conm\/534<\/a><\/li>\n\n\n\n
        25. K-theory for operator algebras. Classification of C*-algebras<\/em> (with Pere Ara and Andrew S. Toms), in Aspects of operator algebras and applications, 1-71, Contemporary Mathematics<\/strong>, 534, American Mathematical Society, Providence, RI, 2011.
          doi:           10.1090\/conm\/534<\/a> arXiv: 0902.3381<\/a>.<\/li>\n\n\n\n
        26. Purely infinite corona algebras of simple C*-algebras with real rank zero<\/a><\/em> (with Dan Kucerovsky), Journal of Operator Theory<\/strong>, 65 (2011), no. 1, 131-144. <\/li>\n\n\n\n
        27. Non-simple purely infinite rings<\/em> (with Gonzalo Aranda Pino, Ken R. Goodearl, and Mercedes Siles Molina), American Journal of Mathematics<\/strong>, 132 (2010), no. 3, 563-610.
          doi:           10.1353\/ajm.0.0119<\/a> arXiv: 0806.4156<\/a>.<\/li>\n\n\n\n
        28. Chain conditions for Leavitt path algebras<\/a><\/em> (with Gene Abrams, Gonzalo Aranda Pino, and Mercedes Siles Molina), Forum Mathematicum<\/strong>, 22 (2010), no. 1, 95-114. doi: 10.1515\/forum.2010.005<\/a><\/li>\n\n\n\n
        29. Purely infinite corona algebras of simple C*-algebras<\/a><\/em> (with Dan Kucerovsky and Ping Wong Ng), Mathematische Annalen<\/strong>, 346 (2010), no. 1, 23-40.
          doi:           10.1007\/s00208-009-0382-0<\/a><\/li>\n\n\n\n
        30. Computing the maximal algebra of quotients of a Lie algebra<\/a><\/em> (with Matej Bre\u0161ar, Juana S\u00e1nchez Ortega, and Mercedes Siles Molina), Forum Mathematicum<\/strong>, 21 (2009), no. 4, 601-620.
          doi:           10.1515\/FORUM.2009.030<\/a><\/li>\n\n\n\n
        31. Finitely generated antisymmetric graph monoids<\/a><\/em> (with Pere Ara and Friedrich Wehrung), Journal of Algebra<\/strong>, 320 (2008), no. 5, 1963-1982.
          doi:           10.1016\/j.jalgebra.2008.06.013<\/a><\/li>\n\n\n\n
        32. The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras<\/em> (with Nate P. Brown and Andrew S. Toms), Journal f\u00fcr die Reine und Angewandte Mathematik<\/strong>, 621 (2008), 191-211.
          doi:           10.1515\/CRELLE.2008.062<\/a> arXiv: math\/0609182<\/a>.<\/li>\n\n\n\n
        33. Strongly non-degenerate Lie algebras<\/em> (with Mercedes Siles Molina), Proceedings of the American Mathematical Society<\/strong>, 136 (2008), no. 12, 4115-4124.
          doi:           10.1090\/S0002-9939-08-09558-0<\/a> arXiv: 0802.1591<\/a>.<\/li>\n\n\n\n
        34. Associative and Lie algebras of quotients<\/em> (with Mercedes Siles Molina), Publicacions Matem\u00e0tiques<\/strong>, 52 (2008), no. 1, 129-149.
          doi:           10.5565\/PUBLMAT_52108_06<\/a> arXiv: math\/0509510<\/a>.<\/li>\n\n\n\n
        35. Non-stable K-theory for QB-rings<\/a><\/em> (with Pere Ara), Mathematica Scandinavica<\/strong>, 100 (2007), no. 2, 265-300.
          doi:           10.7146\/math.scand.a-15024<\/a><\/li>\n\n\n\n
        36. Recasting the Elliott conjecture<\/em> (with Andrew S. Toms), Mathematische Annalen<\/strong>, 338 (2007), no. 3, 669-702.
          doi:           10.1007\/s00208-007-0093-3<\/a> arXiv: math\/0601478<\/a>.<\/li>\n\n\n\n
        37. Inverse limits of rings and multiplier rings<\/em> (with Gert K. Pedersen), Mathematical Proceedings of the Cambridge Philosophical Society<\/strong>, 139 (2005), no. 2, 207-228.
          doi:           10.1017\/S0305004105008704<\/a> arXiv: math\/0307385<\/a>.<\/li>\n\n\n\n
        38. Extensions and pullbacks in QB-rings<\/em> (with Pere Ara and Gert K. Pedersen), Algebras and Representation Theory<\/strong>, 8 (2005), no. 1, 75-97.
          doi:           10.1007\/s10468-004-5767-x<\/a> arXiv: math\/0107104<\/a>.<\/li>\n\n\n\n
        39. Simple Riesz groups of rank one having wild intervals<\/em> (with Francisco Ortus and Enric Pardo), Journal of Algebra<\/strong>, 284 (2005), no. 1, 111-140.
          doi:           10.1016\/j.jalgebra.2004.10.002<\/a> arXiv: math\/0405035<\/a>.<\/li>\n\n\n\n
        40. AF-embeddings into C*-algebras of real rank zero<\/em> (with Mikael R\u00f8rdam), Journal of Functional Analysis<\/strong>, 217 (2004), no. 1, 142-170.
          doi:           10.1016\/j.jfa.2004.05.001<\/a> arXiv: math\/0310340<\/a>.<\/li>\n\n\n\n
        41. Gromov translation algebras over discrete trees are exchange rings<\/a><\/em> (with Pere Ara and Kevin C. O’Meara), Transactions of the American Mathematical Society<\/strong>, 356 (2004), no. 5, 2067-2079.
          doi:           10.1090\/S0002-9947-03-03372-5<\/a><\/li>\n\n\n\n
        42. Stable finiteness of group rings in arbitrary characteristic<\/a><\/em> (with Pere Ara and Kevin C. O’Meara), Advances in Mathematics<\/strong>, 170 (2002), no. 2, 224-238.
          doi:           10.1006\/aima.2002.2075<\/a><\/li>\n\n\n\n
        43. A closure operation in rings<\/a><\/em> (with Pere Ara and Gert K. Pedersen), International Journal of Mathematics<\/strong>, 12 (2001), no. 7, 791-812.
          doi:           10.1142\/S0129167X01001039<\/a><\/li>\n\n\n\n
        44. Ideal structure of multiplier algebras of simple C*-algebras with real rank zero<\/a><\/em>, Canadian Journal of Mathematics<\/strong>, 53 (2001), no. 3, 592-630.
          doi:           10.4153\/CJM-2001-025-2<\/a><\/li>\n\n\n\n
        45. Algebraic aspects in the classification of C*-algebras<\/a><\/em>, Irish Mathematical Society Bulletin<\/strong>, No. 45 (2000), 33-55.<\/li>\n\n\n\n
        46. Extremal richness of multiplier and corona algebras of simple C*-algebras with real rank zero<\/em>, Journal of Operator Theory<\/strong>, 44 (2000), no. 2, 413-431. arXiv: math\/9906180<\/a>.<\/li>\n\n\n\n
        47. An infinite analogue of rings with stable rank one<\/em> (with Pere Ara and Gert K. Pedersen), Journal of Algebra<\/strong>, 230 (2000), no. 2, 608-655.
          doi:           10.1006\/jabr.2000.8330<\/a> arXiv: math\/9910131<\/a>.<\/li>\n\n\n\n
        48. Multipliers of von Neumann regular rings<\/a><\/em> (with Pere Ara), Communications in Algebra<\/strong>, 28 (2000), no. 7, 3359-3385.
          doi:           10.1080\/00927870008827031<\/a><\/li>\n\n\n\n
        49. Lifting units modulo exchange ideals and C*-algebras with real rank zero<\/em>, Journal f\u00fcr die Reine und Angewandte Mathematik<\/strong>, 522 (2000), 51-62.
          doi:           10.1515\/crll.2000.040<\/a> arXiv: math\/9906181<\/a>.<\/li>\n\n\n\n
        50. The structure of countably generated projective modules over regular rings<\/a><\/em> (with Pere Ara and Enric Pardo), Journal of Algebra<\/strong>, 226 (2000), no. 1, 161-190.
          doi:           10.1006\/jabr.1999.8156<\/a><\/li>\n\n\n\n
        51. Monoids arising from positive matrices over commutative C*-algebras<\/a><\/em>, Mathematical Proceedings of the Royal Irish Academy<\/strong>, 99A (1999), no. 1, 75-84.<\/li>\n\n\n\n
        52. The structure of positive elements for C*-algebras with real rank zero<\/a><\/em>, International Journal of Mathematics<\/strong>, 8 (1997), no. 3, 383-405.
          doi:           10.1142\/S0129167X97000196<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

          On MathScinet In Progress Preprints Forthcoming Publications<\/p>\n","protected":false},"author":22,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-43","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/pages\/43","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/comments?post=43"}],"version-history":[{"count":90,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/pages\/43\/revisions"}],"predecessor-version":[{"id":1267,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/pages\/43\/revisions\/1267"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/media?parent=43"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}