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Communications in Mathematical Physics

, Volume 156, Issue 1, pp 17–36 | Cite as

Stable equivalence of the weak closures of free groups convolution algebras

  • Florin Rădulescu
Article

Abstract

We prove in this paper that the von Neumann algebras associated to the free non-commutative groups are stably isomorphic, i.e. that they are isomorphic when tensorized by the algebra of all linear bounded operators on a separable, infinite dimensional Hilbert space. This gives positive evidence for an old question, due to R.V. Kadison (see also S. Sakai's book on W*-algebras), whether the von Neumann algebras associated to free groups are isomorphic or not.

Keywords

Neural Network Statistical Physic Free Group Hilbert Space Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Florin Rădulescu
    • 1
    • 2
  1. 1.Department of MathematicsU.C.L.A.Los AngelesUSA
  2. 2.I.H.E.S.Bures-sur-YvetteFrance

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