Primeness of Generalized Wreath Product II$_1$ Factors

Fuente: arXiv
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1. Verfasser: Patchell, Gregory
Format: Preprint
Veröffentlicht: 2023
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author Patchell, Gregory
author_facet Patchell, Gregory
contents In this article we investigate the primeness of generalized wreath product II$_1$ factors using deformation/rigidity theory techniques. We give general conditions relating tensor decompositions of generalized wreath products to stabilizers of the associated group action and use this to find new examples of prime II$_1$ factors.
format Preprint
id arxiv_https___arxiv_org_abs_2305_07841
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Primeness of Generalized Wreath Product II$_1$ Factors
Patchell, Gregory
Operator Algebras
In this article we investigate the primeness of generalized wreath product II$_1$ factors using deformation/rigidity theory techniques. We give general conditions relating tensor decompositions of generalized wreath products to stabilizers of the associated group action and use this to find new examples of prime II$_1$ factors.
title Primeness of Generalized Wreath Product II$_1$ Factors
topic Operator Algebras
url https://arxiv.org/abs/2305.07841