Publications

In Progress

Bosa, Joan; Perera, Francesc; Wu, Jianchao; Zacharias, Joachim

Continuous type semigroups, dynamical strict comparison, and ideal-free quotients of Cuntz semigroups Unpublished

0001.

BibTeX

Bosa, Joan; Perera, Francesc; Wu, Jianchao; Zacharias, Joachim

Almost elementary dynamical systems and dynamical strict comparison Unpublished

0001.

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Preprints

Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes

Traces on ultrapowers of C*-algebras Unpublished

0002.

BibTeX

Forthcoming

Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes

Traces on ultrapowers of C*-algebras Unpublished

0002.

BibTeX

Publications

2022

Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes

C*-algebras of stable rank one and their Cuntz semigroups Journal Article

In: Duke Mathematical Journal, vol. 171, iss. 1, pp. 33–99, 2022.

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2021

Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes

Edwards’ condition for Quasitraces on C*-algebras Journal Article

In: Proceedings of the Royal Society of Edinburgh, Section A, vol. 151, no. 2, pp. 525-547, 2021.

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2020

Antoine, Ramon; Perera, Francesc; Thiel, Hannes

Cuntz semigroups of ultraproduct C*-algebras Journal Article

In: Journal of the London Mathematical Society, vol. 102, no. 3, pp. 994-1029, 2020.

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Antoine, Ramon; Perera, Francesc; Thiel, Hannes

Abstract bivariant Cuntz semigroups Journal Article

In: International Mathematics Research Notices, vol. 2020, no. 17, pp. 5342-5386, 2020.

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Antoine, Ramon; Perera, Francesc; Thiel, Hannes

Abstract bivariant Cuntz semigroups II Journal Article

In: Forum Mathematicum, vol. 32, no. 1, pp. 45-62, 2020.

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2018

Antoine, Ramon; Perera, Francesc; Petzka, Henning

Perforation conditions and almost algebraic order in Cuntz semigroups Journal Article

In: Proceedings of the Royal Society of Edinburgh, Section A, vol. 148, pp. 669-702, 2018.

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Antoine, Ramon; Perera, Francesc; Thiel, Hannes

Tensor products and regularity properties of Cuntz semigroups Journal Article

In: Memoirs of the American Mathematical Society, vol. 251, no. 1199, pp. 199 pp., 2018.

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2014

Perera, Francesc; Toms, Andrew S.; White, Stuart; Winter, Wilhelm

The Cuntz semigroup and stability of close C*-algebras Journal Article

In: Analysis and PDE, vol. 7, pp. 929-952, 2014.

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Antoine, Ramon; Dadarlat, Marius; Perera, Francesc; Santiago, Luis

Recovering the Elliott invariant from the Cuntz semigroup Journal Article

In: Transactions of the American Mathematical Society, vol. 366, no. 6, pp. 2907-2922, 2014.

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Antoine, Ramon; Bosa, Joan; Perera, Francesc; Petzka, Henning

Geometric structure of dimension functions of certain continuous fields Journal Article

In: Journal of Functional Analysis, vol. 266, no. 4, pp. 2403-2423, 2014.

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2013

Antoine, Ramon; Bosa, Joan; Perera, Francesc

The Cuntz semigroup of continuous fields Journal Article

In: Indiana University Mathematics Journal, vol. 62, no. 4, pp. 1105-1131, 2013.

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Pasnicu, Cornel; Perera, Francesc

The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property Journal Article

In: Publicacions Matemàtiques, vol. 57, no. 2, pp. 359-377, 2013.

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2011

Ortega, Eduard; Perera, Francesc; Rørdam, Mikael

The corona factorization property, stability, and the Cuntz semigroup of a C*-algebra Journal Article

In: International Mathematics Research Notices, no. 1, pp. 34-66, 2011.

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Antoine, Ramon; Bosa, Joan; Perera, Francesc

Completions of monoids with applications to the Cuntz semigroup Journal Article

In: International Journal of Mathematics, vol. 22, no. 6, pp. 837-861, 2011.

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Ortega, Eduard; Perera, Francesc; Rørdam, Mikael

The corona factorization property and refinement monoids Journal Article

In: Transactions of the American Mathematical Society, vol. 363, no. 9, pp. 4505-4525, 2011.

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Antoine, Ramon; Perera, Francesc; Santiago, Luis

Pullbacks, C(X)-algebras, and their Cuntz semigroup Journal Article

In: Journal of Functional Analysis, vol. 260, no. 10, pp. 2844-2880, 2011.

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Ara, Pere; Perera, Francesc; Toms, Andrew S.

K-theory for operator algebras. Classification of C*-algebras Book Chapter

In: Ara, Pere; Lledó, Fernando; Perera, Francesc (Ed.): Aspects of operator algebras and applications, Contemporary Mathematics, vol. 534, Chapter 1, pp. 1-71, American Mathematical Society, Providence, RI, 2011.

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Ara, Pere; Lledó, Fernando; Perera, Francesc

Appendix: basic definitions and results for operator algebras Book Chapter

In: Ara, Pere; Lledó, Fernando; Perera, Francesc (Ed.): Aspects of operator algebras and applications, Contemporary Mathematics, vol. 534, pp. 157-168, American Mathematical Society, Providence, RI, 2011.

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Kucerovsky, Dan; Perera, Francesc

Purely infinite corona algebras of simple C*-algebras with real rank zero Journal Article

In: Journal of Operator Theory, vol. 65, no. 1, pp. 131-144, 2011.

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2010

Aranda-Pino, Gonzalo; Goodearl, Ken R.; Perera, Francesc; Siles-Molina, Mercedes

Non-simple purely infinite rings Journal Article

In: American Journal of Mathematics, vol. 132, no. 3, pp. 563-610, 2010.

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Abrams, Gene; Aranda-Pino, Gonzalo; Perera, Francesc; Siles-Molina, Mercedes

Chain conditions for Leavitt path algebras Journal Article

In: Forum Mathematicum, vol. 22, no. 1, pp. 95-114, 2010.

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Kucerovsky, Dan; Ng, Ping Wong; Perera, Francesc

Purely infinite corona algebras of simple C*-algebras Journal Article

In: Mathematische Annalen, vol. 346, no. 1, pp. 23-40, 2010.

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2009

Brešar, Matej; Perera, Francesc; Sánchez-Ortega, Juana; Siles-Molina, Mercedes

Computing the maximal algebra of quotients of a Lie algebra Journal Article

In: Forum Mathematicum, vol. 21, no. 4, pp. 601-620, 2009.

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2008

Ara, Pere; Perera, Francesc; Wehrung, Friedrich

Finitely generated antisymmetric graph monoids Journal Article

In: Journal of Algebra, vol. 320, no. 5, pp. 1963-1982, 2008.

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Brown, Nate P.; Perera, Francesc; Toms, Andrew S.

The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras Journal Article

In: Journal für die Reine und Angewandte Mathematik, vol. 621, pp. 191-211, 2008.

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Perera, Francesc; Siles-Molina, Mercedes

Strongly non-degenerate Lie algebras Journal Article

In: Proceedings of the American Mathematical Society, vol. 136, no. 12, pp. 4115-4124, 2008.

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Perera, Francesc; Siles-Molina, Mercedes

Associative and Lie algebras of quotients Journal Article

In: Publicacions Matemàtiques, vol. 52, no. 1, pp. 129-149, 2008.

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2007

Ara, Pere; Perera, Francesc

Non-stable K-theory for QB-rings Journal Article

In: Mathematica Scandinavica, vol. 100, no. 2, pp. 265-300, 2007.

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Perera, Francesc; Toms, Andrew S.

Recasting the Elliott conjecture Journal Article

In: Mathematische Annalen, vol. 338, no. 3, pp. 669-702, 2007.

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2005

Pedersen, Gert K.; Perera, Francesc

Inverse limits of rings and multiplier rings Journal Article

In: Mathematical Proceedings of the Cambridge Philosophical Society, vol. 139, no. 2, pp. 207-228, 2005.

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Ara, Pere; Pedersen, Gert K.; Perera, Francesc

Extensions and pullbacks in QB-rings Journal Article

In: Algebras and Representation Theory, vol. 8, no. 1, pp. 75-97, 2005.

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Ortus, Francisco; Pardo, Enric; Perera, Francesc

Simple Riesz groups of rank one having wild intervals Journal Article

In: Journal of Algebra, vol. 284, no. 1, pp. 111-140, 2005.

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2004

Perera, Francesc; Rørdam, Mikael

AF-embeddings into C*-algebras of real rank zero Journal Article

In: Journal of Functional Analysis, vol. 217, no. 1, pp. 142-170, 2004.

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Ara, Pere; O’Meara, Kevin C.; Perera, Francesc

Gromov translation algebras over discrete trees are exchange rings Journal Article

In: Transactions of the American Mathematical Society, vol. 356, no. 5, pp. 2067-2079, 2004.

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2002

Ara, Pere; O’Meara, Kevin C.; Perera, Francesc

Stable finiteness of group rings in arbitrary characteristic Journal Article

In: Advances in Mathematics, vol. 170, no. 2, pp. 224-238, 2002.

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2001

Ara, Pere; Pedersen, Gert K.; Perera, Francesc

A closure operation in rings Journal Article

In: International Journal of Mathematics, vol. 12, no. 7, pp. 791-812, 2001.

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Perera, Francesc

Ideal structure of multiplier algebras of simple C*-algebras with real rank zero Journal Article

In: Canadian Journal of Mathematics, vol. 53, no. 3, pp. 592-630, 2001.

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2000

Perera, Francesc

Algebraic aspects in the classification of C*-algebras Journal Article

In: Irish Mathematical Society Bulletin, vol. 45, pp. 33-55, 2000.

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Perera, Francesc

Extremal richness of multiplier and corona algebras of simple C*-algebras with real rank zero Journal Article

In: Journal of Operator Theory, vol. 44, no. 2, pp. 413-431, 2000.

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Ara, Pere; Perera, Francesc

Multipliers of von Neumann regular rings Journal Article

In: Communications in Algebra, vol. 28, no. 7, pp. 3359-3385, 2000.

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Ara, Pere; Pedersen, Gert K.; Perera, Francesc

An infinite analogue of rings with stable rank one Journal Article

In: Journal of Algebra, vol. 230, no. 2, pp. 608-655, 2000.

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Perera, Francesc

Lifting units modulo exchange ideals and C*-algebras with real rank zero Journal Article

In: Journal für die Reine und Angewandte Mathematik, vol. 522, pp. 51-62, 2000.

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Ara, Pere; Pardo, Enric; Perera, Francesc

The structure of countably generated projective modules over regular rings Journal Article

In: Journal of Algebra, vol. 226, no. 1, pp. 161-190, 2000.

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1999

Perera, Francesc

Monoids arising from positive matrices over commutative C*-algebras Journal Article

In: Mathematical Proceedings of the Royal Irish Academy, vol. 99A, no. 1, pp. 75-84, 1999.

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1997

Perera, Francesc

The structure of positive elements for C*-algebras with real rank zero Journal Article

In: International Journal of Mathematics, vol. 8, no. 3, pp. 383-405, 1997.

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