Every countable group admits amenable actions on stably finite simple C*-algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866908816834035712 |
|---|---|
| author | Suzuki, Yuhei |
| author_facet | Suzuki, Yuhei |
| contents | We give the first examples of (non-amenable group) amenable actions on stably finite simple C*-algebras. More precisely, we give such actions for any countable group in an explicit way. The main ingredients of our construction are the full Fock space of the regular representation and a trace-scaling automorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_04480 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Every countable group admits amenable actions on stably finite simple C*-algebras Suzuki, Yuhei Operator Algebras Dynamical Systems Group Theory Primary 46L55, Secondary 46L35 We give the first examples of (non-amenable group) amenable actions on stably finite simple C*-algebras. More precisely, we give such actions for any countable group in an explicit way. The main ingredients of our construction are the full Fock space of the regular representation and a trace-scaling automorphism. |
| title | Every countable group admits amenable actions on stably finite simple C*-algebras |
| topic | Operator Algebras Dynamical Systems Group Theory Primary 46L55, Secondary 46L35 |
| url | https://arxiv.org/abs/2204.04480 |