C*-pseudo-multiplicative unitaries

Thomas Timmermann

C*-pseudo-multiplicative unitaries

Operator Algebras 2007-09-20 v2

Authors: Thomas Timmermann

Abstract

We introduce $C^*$ -pseudo-multiplicative unitaries and (concrete) Hopf $C^*$ -bimodules, which are $C^*$ -algebraic variants of the pseudo-multiplicative unitaries on Hilbert spaces and the Hopf-von Neumann-bimodules studied by Enock, Lesieur, Vallin. Moreover, we associate to every regular $C^*$ -pseudo-multiplicative unitary two Hopf- $C^*$ -bimodules and discuss examples related to locally compact groupoids.

Keywords

hilbert modules c*-algebra hopf algebras

Cite

@article{arxiv.0709.2995,
  title  = {C*-pseudo-multiplicative unitaries},
  author = {Thomas Timmermann},
  journal= {arXiv preprint arXiv:0709.2995},
  year   = {2007}
}

Comments

29 pages

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