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Primeness of Generalized Wreath Product II$_1$ Factors

Operator Algebras 2024-02-02 v2

Abstract

In this article we investigate the primeness of generalized wreath product II1_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 II1_1 factors.

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Cite

@article{arxiv.2305.07841,
  title  = {Primeness of Generalized Wreath Product II$_1$ Factors},
  author = {Gregory Patchell},
  journal= {arXiv preprint arXiv:2305.07841},
  year   = {2024}
}

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23 pages