Non-K-exact uniform Roe C*-algebras
classification
🧮 math.OA
keywords
algebrasexpandergraphsgroupsuniformalternatingappropriatelyassociated
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We prove that uniform Roe C*-algebras associated to some expander graphs coming from discrete groups with property (\tau) are not K-exact. In particular, we show that this is the case for the expander obtained as Cayley graphs of a sequence of alternating groups (with appropriately chosen generating sets).
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