Weak Hopf algebra symmetries of C^*-algebra inclusions
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
After a summary on module algebra actions of C^*-weak Hopf algebras we outline the proof of a reconstruction theorem stating that every finite index depth 2 inclusion N < M of unital C^*-algebras with finite dimensional centers is isomorphic to the invariant subalgebra inclusion M^A < M with respect to a regular weak Hopf algebra action. The proof uses the language of C^*-2-categories.
Keywords
Cite
@article{arxiv.math/0101005,
title = {Weak Hopf algebra symmetries of C^*-algebra inclusions},
author = {K. Szlachanyi},
journal= {arXiv preprint arXiv:math/0101005},
year = {2007}
}
Comments
17 pp, AMS-LaTeX