English

Labelled space $C^*$-algebras as partial crossed products and a simplicity characterization

Operator Algebras 2019-09-11 v1

Abstract

A partial action is associated with a normal weakly left resolving labelled space such that the crossed product and labelled space CC^*-algebras are isomorphic. An improved characterization of simplicity for labelled space CC^*-algebras is given and applied to CC^*-algebras of subshifts.

Keywords

Cite

@article{arxiv.1909.04456,
  title  = {Labelled space $C^*$-algebras as partial crossed products and a simplicity characterization},
  author = {Gilles G. de Castro and Daniel W. van Wyk},
  journal= {arXiv preprint arXiv:1909.04456},
  year   = {2019}
}