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- W1753015909 abstract "We show that if $H leq G$ is a closed amenable and cocompact subgroup of a unimodular locally compact group, then the reduced group C*-algebra of $G$ is not simple. Equivalently, there are unitary representations of $G$ that are weakly contained in the left-regular representation, but not weakly equivalent to it. We discuss applications of this result and pose the problem to construct non-discrete topologically simple groups with a cocompact amenable closed subgroup but without a Gelfand pair." @default.
- W1753015909 created "2016-06-24" @default.
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- W1753015909 date "2015-10-21" @default.
- W1753015909 modified "2023-09-23" @default.
- W1753015909 title "Cocompact amenable closed subgroups: weakly inequivalent representations in the left-regular representation" @default.
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