Measured quantum groupoids

Details Measured quantum groupoids Measured quantum groupoids

2005-04-06

arxiv.org/abs/math/0504104v2

Mathematics

Operator Algebras

139 pages. Retenu pour publication aux M{\'e}moires de la SMF

Scientific paper

In this article, we give a definition for measured quantum groupoids. We want to get objects with duality extending both quantum groups and groupoids. We base ourselves on J. Kustermans and S. Vaes' works about locally compact quantum groups that we generalize thanks to formalism introduced by M. Enock and J.M. Vallin in the case of inclusion of von Neumann algebras. From a structure of Hopf-bimodule with left and right invariant operator-valued weights, we define a fundamental pseudo-multiplicative unitary. To get a satisfying duality in the general case, we assume the existence of an antipode given by its polar decomposition. This theory is illustrated with many examples among others inclusion of von Neumann algebras (M. Enock) and a sub family of measured quantum groupoids with easier axiomatic.

Affiliated with

Also associated with

No associations

Rating

Measured quantum groupoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Measured quantum groupoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Measured quantum groupoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38440