Non-K-exact uniform Roe C*-algebras

Mathematics – Operator Algebras

Scientific paper

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Scientific paper

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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