C*-irreducibility for reduced twisted group C*-algebras

Erik Bédos; Tron Omland

doi:10.1016/j.jfa.2022.109795

C-irreducibility for reduced twisted group C-algebras

Operator Algebras 2023-01-31 v3 Group Theory

Authors: Erik Bédos , Tron Omland

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Abstract

We study C*-irreducibility of inclusions of reduced twisted group C*-algebras and of reduced group C*-algebras. We characterize C*-irreducibility in the case of an inclusion arising from a normal subgroup, and exhibit many new examples of C*-irreducible inclusions.

Keywords

C*-irreducibility reduced twisted group C*-algebras reduced group C*-algebras normal subgroup operator algebras

Cite

@article{arxiv.2203.16998,
  title  = {C*-irreducibility for reduced twisted group C*-algebras},
  author = {Erik Bédos and Tron Omland},
  journal= {arXiv preprint arXiv:2203.16998},
  year   = {2023}
}

Comments

23 pages. v2: A couple of minor changes and some typos corrected. The paper has been slightly reorganized. v3: Final version, incorporating some improvements suggested by the referee. To appear in jFA