C*-pseudo-multiplicative unitaries

Details C*-pseudo-multiplicative unitaries C*-pseudo-multiplicative unitaries

2007-09-19

arxiv.org/abs/0709.2995v2

Mathematics

Operator Algebras

29 pages

Scientific paper

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.

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