Elementary amenability and almost finiteness
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866914495501172736 |
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| author | Kerr, David Naryshkin, Petr |
| author_facet | Kerr, David Naryshkin, Petr |
| contents | We show that every free continuous action of a countably infinite elementary amenable group on a finite-dimensional compact metrizable space is almost finite. As a consequence, the crossed products of minimal such actions are $\mathcal{Z}$-stable and classified by their Elliott invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_05273 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Elementary amenability and almost finiteness Kerr, David Naryshkin, Petr Dynamical Systems Operator Algebras We show that every free continuous action of a countably infinite elementary amenable group on a finite-dimensional compact metrizable space is almost finite. As a consequence, the crossed products of minimal such actions are $\mathcal{Z}$-stable and classified by their Elliott invariant. |
| title | Elementary amenability and almost finiteness |
| topic | Dynamical Systems Operator Algebras |
| url | https://arxiv.org/abs/2107.05273 |