Nuclear dimension of simple C*-algebras
We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2020
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| _version_ | 1797092130610479104 |
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| author | Castillejos, J Evington, S Tikuisis, A White, S Winter, W |
| author_facet | Castillejos, J Evington, S Tikuisis, A White, S Winter, W |
| author_sort | Castillejos, J |
| collection | OXFORD |
| description | We compute the nuclear dimension of separable, simple, unital, nuclear,
Z-stable C*-algebras. This makes classification accessible from Z-stability and
in particular brings large classes of C*-algebras associated to free and
minimal actions of amenable groups on finite dimensional spaces within the
scope of the Elliott classification programme. |
| first_indexed | 2024-03-07T03:41:53Z |
| format | Journal article |
| id | oxford-uuid:be2efde3-99bf-40f5-97a6-08d1bf4b48ac |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:41:53Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:be2efde3-99bf-40f5-97a6-08d1bf4b48ac2022-03-27T05:37:22ZNuclear dimension of simple C*-algebrasJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:be2efde3-99bf-40f5-97a6-08d1bf4b48acEnglishSymplectic ElementsSpringer2020Castillejos, JEvington, STikuisis, AWhite, SWinter, WWe compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme. |
| spellingShingle | Castillejos, J Evington, S Tikuisis, A White, S Winter, W Nuclear dimension of simple C*-algebras |
| title | Nuclear dimension of simple C*-algebras |
| title_full | Nuclear dimension of simple C*-algebras |
| title_fullStr | Nuclear dimension of simple C*-algebras |
| title_full_unstemmed | Nuclear dimension of simple C*-algebras |
| title_short | Nuclear dimension of simple C*-algebras |
| title_sort | nuclear dimension of simple c algebras |
| work_keys_str_mv | AT castillejosj nucleardimensionofsimplecalgebras AT evingtons nucleardimensionofsimplecalgebras AT tikuisisa nucleardimensionofsimplecalgebras AT whites nucleardimensionofsimplecalgebras AT winterw nucleardimensionofsimplecalgebras |