Real rank zero algebras have the corona factorization property
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebr...
| Authors: | ; |
|---|---|
| Format: | Article |
| Publication date: | 2006 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:44021 |
| Online Access: | https://ddd.uab.cat/record/44021 |
| Access Level: | Open access |
| Keyword: | C*-àlgebres |
| _version_ | 1878740134116982784 |
|---|---|
| author | Kucerovsky, Dan |
| author2 | Perera Domènech, Francesc|||0000-0002-4669-4736 |
| author2_role | author |
| author_browse | Kucerovsky, Dan Perera Domènech, Francesc|||0000-0002-4669-4736 |
| author_facet | Kucerovsky, Dan Perera Domènech, Francesc|||0000-0002-4669-4736 |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| description | The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebra admits an injection of the compact operators (a question already considered in [21]). |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_cdefec8928faacf404d63c426f2cf8d4 |
| institution | Universitat Autònoma de Barcelona |
| instname_str | Universitat Autònoma de Barcelona |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ddd.uab.cat:44021 |
| publishDate | 2006 |
| publishDateSort | 2006 |
| publisher | Centre de Recerca Matemàtica |
| publisherStr | Centre de Recerca Matemàtica |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | Real rank zero algebras have the corona factorization property Kucerovsky, Dan Perera Domènech, Francesc|||0000-0002-4669-4736 C*-àlgebres The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebra admits an injection of the compact operators (a question already considered in [21]). Centre de Recerca Matemàtica https://ddd.uab.cat/record/44021 |
| spellingShingle | Real rank zero algebras have the corona factorization property Kucerovsky, Dan C*-àlgebres |
| title | Real rank zero algebras have the corona factorization property |
| title_full | Real rank zero algebras have the corona factorization property |
| title_fullStr | Real rank zero algebras have the corona factorization property |
| title_full_unstemmed | Real rank zero algebras have the corona factorization property |
| title_short | Real rank zero algebras have the corona factorization property |
| title_sort | Real rank zero algebras have the corona factorization property |
| topic | C*-àlgebres |
| topic_facet | C*-àlgebres |
| url | https://ddd.uab.cat/record/44021 |