Corpus ID: 235458212

Locally compact sofic groups

  title={Locally compact sofic groups},
  author={Lewis Bowen and Peter C. M. Burton},
We introduce the notion of soficity for locally compact groups and list a number of open problems. 


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We introduce mean dimensions for continuous actions of countable sofic groups on compact metrizable spaces. These generalize the Gromov-Lindenstrauss-Weiss mean dimensions for actions of countableExpand
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Simple groups without lattices
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Unrestricted wreath products and sofic groups
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Hyperlinearity, essentially free actions and L2-invariants. The sofic property
Abstract.We prove that Connes’ Embedding Conjecture holds for the von Neumann algebras of sofic groups, that is sofic groups are hyperlinear. Hence we provide some new examples of hyperlinearity. WeExpand
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Sofic representations of amenable groups
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Sofic equivalence relations
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