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

Siegfried Echterhoff; Dana P. Williams

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arXiv · math/0207072

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

Siegfried Echterhoff·Dana P. Williams

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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.

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BibTeX RIS

Siegfried Echterhoff, Dana P. Williams. 2002-07-08. Central twisted transformation groups and group $C^*$-algebras of central group extensions. https://arxiv.org/abs/math/0207072

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