Nuclear dimension of simple stably projectionless C*-algebras
We prove that Z-stable, simple, separable, nuclear, non-unital C∗-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Zstability for simple, separable, nuclear, non-elementary C∗-algebras.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Mathematical Sciences Publishers
2020
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| _version_ | 1797083510946660352 |
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| author | Castillejos, J Evington, S |
| author_facet | Castillejos, J Evington, S |
| author_sort | Castillejos, J |
| collection | OXFORD |
| description | We prove that Z-stable, simple, separable, nuclear, non-unital C∗-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Zstability for simple, separable, nuclear, non-elementary C∗-algebras. |
| first_indexed | 2024-03-07T01:42:38Z |
| format | Journal article |
| id | oxford-uuid:9763131b-8ebe-4dcf-ab98-7c7580c2bbdf |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:42:38Z |
| publishDate | 2020 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | oxford-uuid:9763131b-8ebe-4dcf-ab98-7c7580c2bbdf2022-03-26T23:59:13ZNuclear dimension of simple stably projectionless C*-algebrasJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9763131b-8ebe-4dcf-ab98-7c7580c2bbdfEnglishSymplectic Elements at OxfordMathematical Sciences Publishers2020Castillejos, JEvington, SWe prove that Z-stable, simple, separable, nuclear, non-unital C∗-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Zstability for simple, separable, nuclear, non-elementary C∗-algebras. |
| spellingShingle | Castillejos, J Evington, S Nuclear dimension of simple stably projectionless C*-algebras |
| title | Nuclear dimension of simple stably projectionless C*-algebras |
| title_full | Nuclear dimension of simple stably projectionless C*-algebras |
| title_fullStr | Nuclear dimension of simple stably projectionless C*-algebras |
| title_full_unstemmed | Nuclear dimension of simple stably projectionless C*-algebras |
| title_short | Nuclear dimension of simple stably projectionless C*-algebras |
| title_sort | nuclear dimension of simple stably projectionless c algebras |
| work_keys_str_mv | AT castillejosj nucleardimensionofsimplestablyprojectionlesscalgebras AT evingtons nucleardimensionofsimplestablyprojectionlesscalgebras |