C*-pseudo-multiplicative unitaries

2007/09/19 by Thomas Timmermann, Timmermann, Thomas · 1 citation
Mathematics · #46L55 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:46L55

paper · pdf · doi:10.48550/arxiv.0709.2995

29 pages

openalex publication_date 2007/09/19 · arxiv created 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• C*-pseudo-multiplicative unitaries and Hopf C*-bimodules

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