The relative tensor product and a minimal fiber product in the setting of C*-algebras

Timmermann T.

Research article (journal) | Peer reviewed

Abstract

We introduce a relative tensor product of C*-bimodules and a spatial fiber product of C*-algebras that are analogues of Connes' fusion of correspondences and the fiber product of von Neumann algebras introduced by Sauvageot, respectively. These new constructions form the basis for our approach to quantum groupoids in the setting of C*-algebras that is published separately. © by THETA, 2012.

Details about the publication

JournalJournal of Operator Theory (J. Operator Theory)
Volume68
Issue2
Page range365-404
StatusPublished
Release year2012
Language in which the publication is writtenEnglish
Link to the full texthttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84871398601&origin=inward
KeywordsBimodule; Fiber product; Hilbert module; Quantum groupoid; Relative tensor product

Authors from the University of Münster

Timmermann, Thomas
Mathematical Institute