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kirchberg_property [2019/09/06 13:12] d.gromada created |
kirchberg_property [2021/11/23 11:56] (current) |
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* $\hat S_N$ for any $N$ [(ref:BCF18)] | * $\hat S_N$ for any $N$ [(ref:BCF18)] | ||
* $\hat H^{s+}_N$ for $N\ge 4$ and $1\le s\le\infty$ [(ref:BCF18)] | * $\hat H^{s+}_N$ for $N\ge 4$ and $1\le s\le\infty$ [(ref:BCF18)] | ||
+ | * Any Abelian discrete quantum group (i.e. dual of a compact group) | ||
===== Relation with other properties ===== | ===== Relation with other properties ===== | ||
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If $\Gamma=\hat G$ has (F), then | If $\Gamma=\hat G$ has (F), then | ||
- | * $\Gamma$ has the Connes embedding property | + | * $\Gamma$ has the Connes embedding property [(ref:BBCW17)] |
Discrete quantum group $\Gamma=\hat G$ has (F) if | Discrete quantum group $\Gamma=\hat G$ has (F) if | ||
- | * $\Gamma$ is residually finite | + | * $\Gamma$ is [[residual_finiteness|residually finite]] [(ref:BBCW17)] |
===== References ===== | ===== References ===== | ||
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doi {10.1112/blms/bdw048}, | doi {10.1112/blms/bdw048}, | ||
url : https://doi.org/10.1112/blms/bdw048 | url : https://doi.org/10.1112/blms/bdw048 | ||
- | } | + | )] |
[(ref:BBCW17>> | [(ref:BBCW17>> |