Compact Quantum Groupoids
Mathematical Physics
2007-05-23 v1 math.MP
Quantum Algebra
Abstract
Quantum groupoids are a joint generalization of groupoids and quantum groups. We propose a definition of a compact quantum groupoid that is based on the theory of C*-algebras and Hilbert bimodules. The essential point is that whenever one has a tensor product over the complex numbers in the theory of quantum groups, one now uses a certain tensor product over the base algebra of the quantum groupoid.
Keywords
Cite
@article{arxiv.math-ph/9912006,
title = {Compact Quantum Groupoids},
author = {N. P. Landsman},
journal= {arXiv preprint arXiv:math-ph/9912006},
year = {2007}
}
Comments
8 pages, to appear in `Quantum Theory and Symmetries' (Goslar, 18-22 July 1999), eds. H.-D. Doebner et al