Weak Hopf algebra symmetries of C^*-algebra inclusions

Details Weak Hopf algebra symmetries of C^*-algebra inclusions Weak Hopf algebra symmetries of C^*-algebra inclusions

2000-12-31

arxiv.org/abs/math/0101005v1

Mathematics

Quantum Algebra

17 pp, AMS-LaTeX

Scientific paper

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.

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