English

Primeness and primitivity conditions for twisted group $C^*$-algebras

Operator Algebras 2017-11-30 v2 Group Theory

Abstract

For a multiplier (2-cocycle) σ\sigma on a discrete group GG we give conditions for which the twisted group CC^*-algebra associated with the pair (G,σ)(G,\sigma) is prime or primitive. We also discuss how these conditions behave on direct products and free products of groups.

Keywords

Cite

@article{arxiv.1204.4259,
  title  = {Primeness and primitivity conditions for twisted group $C^*$-algebras},
  author = {Tron Omland},
  journal= {arXiv preprint arXiv:1204.4259},
  year   = {2017}
}

Comments

17 pages