Compact C*-quantum groupoids
Operator Algebras
2013-07-02 v3 Quantum Algebra
Abstract
We propose a definition of compact quantum groupoids in the setting of C*-algebras, associate to such a quantum groupoid a regular C*-pseudo-multiplicative unitary, and use this unitary to construct a dual Hopf C*-bimodule and to pass to a measurable quantum groupoid in the sense of Enock and Lesieur. Moreover, we discuss examples related to compact and to \'etale groupoids and study principal compact C*-quantum groupoids.
Keywords
Cite
@article{arxiv.0810.3771,
title = {Compact C*-quantum groupoids},
author = {Thomas Timmermann},
journal= {arXiv preprint arXiv:0810.3771},
year = {2013}
}
Comments
36 pages; missing references added