Journal article
Product Rigidity in Von Neumann and C-Algebras Via S-Malleable Deformations
Communications in mathematical physics, Vol.388(1), pp.329-349
11/01/2021
DOI: 10.1007/s00220-021-04210-y
Abstract
We provide a new large class of countable icc groups A for which the product rigidity result from Chifan et al. (Geom Funct Anal 26(1): 136-159, 2016) holds: if Gamma(1), ..., Gamma(n) is an element of A and Lambda is any group such that L (Gamma(1 )x( )...( ) x Gamma(n)) congruent to L(Lambda), then there exists a product decomposition Lambda = Lambda(1) x ... x Lambda(n) such that L (Lambda(i)) is stably isomorphic to L(Gamma(i)), for any 1 <= i <= n. Class A consists of groups Gamma for which L(Gamma) admits an s-malleable deformation in the sense of Sorin Popa and it includes all non-amenable groups Gamma such that either (a) Gamma admits an unbounded 1-cocycle into its left regular representation, or (b) Gamma is an arbitrary wreath product group with amenable base. As a byproduct of these results, we obtain new examples of W*-supeffigid groups and new rigidity results in the C*-algebra theory.
Details
- Title: Subtitle
- Product Rigidity in Von Neumann and C-Algebras Via S-Malleable Deformations
- Creators
- Daniel Drimbe - KU Leuven
- Resource Type
- Journal article
- Publication Details
- Communications in mathematical physics, Vol.388(1), pp.329-349
- DOI
- 10.1007/s00220-021-04210-y
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- Publisher
- Springer Nature
- Number of pages
- 21
- Language
- English
- Date published
- 11/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984696654302771
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