The nuclear dimension of O∞-stable-C*-algebras
We show that every nuclear O∞-stable ∗ -homomorphism with a separable exact domain has nuclear dimension at most 1. In particular separable, nuclear, O∞-stable C ∗ -algebras have nuclear dimension 1. We also characterise when O∞-stable C ∗ -algebras have finite decomposition rank in terms of quasidi...
| 主要な著者: | , , , |
|---|---|
| フォーマット: | Journal article |
| 言語: | English |
| 出版事項: |
Elsevier
2022
|
| _version_ | 1826309499170848768 |
|---|---|
| author | Bosa, J Gabe, J Sims, A White, S |
| author_facet | Bosa, J Gabe, J Sims, A White, S |
| author_sort | Bosa, J |
| collection | OXFORD |
| description | We show that every nuclear O∞-stable ∗
-homomorphism
with a separable exact domain has nuclear dimension at most 1. In
particular separable, nuclear, O∞-stable C
∗
-algebras have nuclear dimension 1. We also characterise when O∞-stable C
∗
-algebras have finite decomposition rank in terms of quasidiagonality and primitive-ideal
structure, and determine when full O2-stable ∗
-homomorphisms have
nuclear dimension 0. |
| first_indexed | 2024-03-07T07:36:41Z |
| format | Journal article |
| id | oxford-uuid:97259fd2-5cb1-469e-9388-a8a99a4472dd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:36:41Z |
| publishDate | 2022 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:97259fd2-5cb1-469e-9388-a8a99a4472dd2023-03-10T08:23:38ZThe nuclear dimension of O∞-stable-C*-algebrasJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:97259fd2-5cb1-469e-9388-a8a99a4472ddEnglishSymplectic ElementsElsevier2022Bosa, JGabe, JSims, AWhite, SWe show that every nuclear O∞-stable ∗ -homomorphism with a separable exact domain has nuclear dimension at most 1. In particular separable, nuclear, O∞-stable C ∗ -algebras have nuclear dimension 1. We also characterise when O∞-stable C ∗ -algebras have finite decomposition rank in terms of quasidiagonality and primitive-ideal structure, and determine when full O2-stable ∗ -homomorphisms have nuclear dimension 0. |
| spellingShingle | Bosa, J Gabe, J Sims, A White, S The nuclear dimension of O∞-stable-C*-algebras |
| title | The nuclear dimension of O∞-stable-C*-algebras |
| title_full | The nuclear dimension of O∞-stable-C*-algebras |
| title_fullStr | The nuclear dimension of O∞-stable-C*-algebras |
| title_full_unstemmed | The nuclear dimension of O∞-stable-C*-algebras |
| title_short | The nuclear dimension of O∞-stable-C*-algebras |
| title_sort | nuclear dimension of o∞ stable c algebras |
| work_keys_str_mv | AT bosaj thenucleardimensionofostablecalgebras AT gabej thenucleardimensionofostablecalgebras AT simsa thenucleardimensionofostablecalgebras AT whites thenucleardimensionofostablecalgebras AT bosaj nucleardimensionofostablecalgebras AT gabej nucleardimensionofostablecalgebras AT simsa nucleardimensionofostablecalgebras AT whites nucleardimensionofostablecalgebras |