English

Permutations of Strongly Self-Absorbing C*-algebras

Operator Algebras 2007-08-02 v1

Abstract

Let G be a finite group acting on {1,...,n}. For any C*-algebra A, this defines an action of \alpha of G on A^{\otimes n}. We show that if A tensorially absorbs a UHF algebra of infinite type, the Jiang-Su algebra, or is approximately divisible, then A \times_{\alpha} G has the corresponding property as well.

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Cite

@article{arxiv.0708.0213,
  title  = {Permutations of Strongly Self-Absorbing C*-algebras},
  author = {Ilan Hirshberg and Wilhelm Winter},
  journal= {arXiv preprint arXiv:0708.0213},
  year   = {2007}
}

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8 pages