{"id":875,"date":"2020-03-05T09:54:24","date_gmt":"2020-03-05T09:54:24","guid":{"rendered":"http:\/\/mat.uab.cat\/web\/perera\/?p=875"},"modified":"2020-03-11T10:08:35","modified_gmt":"2020-03-11T10:08:35","slug":"seminar-operator-algebras-10","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/perera\/2020\/03\/05\/seminar-operator-algebras-10\/","title":{"rendered":"Seminar (Operator Algebras)"},"content":{"rendered":"<p><a href=\"http:\/\/www.maths.gla.ac.uk\/~jzacharias\/\" target=\"_blank\" rel=\"noopener\">Joachim Zacharias<\/a> (University of Glasgow)<\/p>\n<p><em>AF-embeddings and quotients of the Cantor set<\/em><\/p>\n<p><span style=\"color: #000000\" data-darkreader-inline-color=\"\">Abstract: The classical Aleksandrov-Uryson Theorem says that every compact metric space X is a quotient of the Cantor set S, hence the C*-algebra C(X) of continuous functions on X embeds into C(S), an AF algebra, i.e. an inductive limit of finite dimensional C*-algebras. Thus every separable commutative C*-algebra is AF-embeddable. Whilst this cannot be true for arbitrary separable non-commutative C*-algebras such embeddings into AF-algebras have been established in many cases. We explore how the proof of the classical A-U-Theorem can be mimicked to obtain AF-embeddings and related results for classes of non-commutative C*-algebras.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Joachim Zacharias (University of Glasgow) AF-embeddings and quotients of the Cantor set Abstract: The classical Aleksandrov-Uryson Theorem says that every compact metric space X is a quotient of the Cantor set S, hence the C*-algebra C(X) of continuous functions on X embeds into C(S), an AF algebra, i.e. an inductive limit of finite dimensional C*-algebras. &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/mat.uab.cat\/web\/perera\/2020\/03\/05\/seminar-operator-algebras-10\/\" class=\"more-link\">Continua llegint <span class=\"screen-reader-text\">\u00abSeminar (Operator Algebras)\u00bb<\/span><\/a><\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,3],"tags":[],"class_list":["post-875","post","type-post","status-publish","format-standard","hentry","category-operator-algebras","category-seminars"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts\/875","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/types\/post"}],"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=875"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts\/875\/revisions"}],"predecessor-version":[{"id":1027,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts\/875\/revisions\/1027"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/media?parent=875"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/categories?post=875"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/tags?post=875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}