Deformations of Fell bundles and twisted graph algebras

  title={Deformations of Fell bundles and twisted graph algebras},
  author={Iain Raeburn},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  pages={535 - 558}
  • I. Raeburn
  • Published 5 April 2016
  • Mathematics
  • Mathematical Proceedings of the Cambridge Philosophical Society
Abstract We consider Fell bundles over discrete groups, and the C*-algebra which is universal for representations of the bundle. We define deformations of Fell bundles, which are new Fell bundles with the same underlying Banach bundle but with the multiplication deformed by a two-cocycle on the group. Every graph algebra can be viewed as the C*-algebra of a Fell bundle, and there are many cocycles of interest with which to deform them. We thus obtain many of the twisted graph algebras of… 

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