Equivariant property (SI) revisited, II
| Autor: | Szabó, Gábor |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We investigate Matui-Sato's notion of property (SI) for C*-dynamics, this time with a focus on actions of possibly non-amenable groups. The main result is a generalization of earlier work: For any countable group $\Gamma$ and any non-elementary separable simple nuclear C*-algebra $A$ with strict comparison, every amenable $\Gamma$-action on $A$ has equivariant property (SI). This is deduced from a more general statement involving relative property (SI) for certain inclusions into ultraproducts. The article concludes with a few consequences of this result. Comment: 12 pages; v2 minor corrections. This version has been accepted for publication in the special issue of M\"unster Journal of Mathematics in honour of Eberhard Kirchberg. arXiv admin note: text overlap with arXiv:1904.10897 |
| Databáze: | arXiv |
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