$W^*$ and $C^*$-superrigidity results for coinduced groups

Ionut Chifan; Alec Diaz-Arias; Daniel Drimbe

$W^$ and $C^$-superrigidity results for coinduced groups

Operator Algebras 2021-07-16 v2

Authors: Ionut Chifan , Alec Diaz-Arias , Daniel Drimbe

Abstract

In this paper we explore a generic notion of superrigidity for von Neumann algebras $L(G)$ and reduced $C^*$ -algebras $C^*_r(G)$ associated with countable discrete groups $G$ . This allows us to classify these algebras for various new classes of groups $G$ from the realm of coinduced groups.

Keywords

c*-algebra c*-algebras cuntz semigroup

Cite

@article{arxiv.2107.05976,
  title  = {$W^*$ and $C^*$-superrigidity results for coinduced groups},
  author = {Ionut Chifan and Alec Diaz-Arias and Daniel Drimbe},
  journal= {arXiv preprint arXiv:2107.05976},
  year   = {2021}
}

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