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C-Tensor Categories and Subfactors for Totally Disconnected Groups

机译:C-Tensor类别和完全断开的组的子因素

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We associate a rigid C-tensor category l to a totally disconnected locally compact group G and a compact open subgroup K < G. We characterize when l has the Haagerup property or property (T), and when l is weakly amenable. When G is compactly generated, we prove that l is essentially equivalent to the planar algebra associated by Jones and Burstein to a group acting on a locally finite bipartite graph. We then concretely realize l as the category of bimodules generated by a hyperfinite subfactor.
机译:我们将刚性C字母类L与完全断开的本地紧凑组G和紧凑的开放子组K

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