Central twisted transformation groups and group $C^*$-algebras of central group extensions

Siegfried Echterhoff; Dana P. Williams

Central twisted transformation groups and group $C^*$-algebras of central group extensions

Operator Algebras 2007-05-23 v1

Authors: Siegfried Echterhoff , Dana P. Williams

Abstract

We examine the structure of central twisted transformation group \cs-algebras $C_{0}(X)\rtimes_{\id,u}G$ , and apply our results to the group \cs-algebras of central group extensions. Our methods require that we study Moore's cohomology group $H^{2}\bigl(G,C(X,\T)\bigr)$ , and, in particular, we prove an inflation result for pointwise trivial cocyles which may be of use elsewhere.

Keywords

twisted transformation groups group C*-algebras central extensions Moore cohomology cocycles

Cite

@article{arxiv.math/0207072,
  title  = {Central twisted transformation groups and group $C^*$-algebras of central group extensions},
  author = {Siegfried Echterhoff and Dana P. Williams},
  journal= {arXiv preprint arXiv:math/0207072},
  year   = {2007}
}

Comments

22 pages. To appear in the Indiana U. Math. J

Central twisted transformation groups and group $C^*$-algebras of central group extensions

Abstract

Keywords

Cite

Comments

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