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. We also show that the Determinant Conjecture holds for sofic groups as well. We introduce the notion of essentially free actions and amenable actions and study their properties.

• Publication year

  2004

• Venue

  Mathematische Annalen

• Publication date

  2004-08-29

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1007/S00208-005-0640-8arXiv math/0408400
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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