Subfactors associated to compact Kac algebras

Details Subfactors associated to compact Kac algebras Subfactors associated to compact Kac algebras

1998-06-10

arxiv.org/abs/math/9806054v3

Integral Equations Operator Theory 39 (2001), 1-14

Mathematics

Operator Algebras

14 pages, version to be published

Scientific paper

We construct inclusions of the form $(B_0\otimes P)^G\subset (B_1\otimes P)^G$, where $G$ is a compact quantum group of Kac type acting on an inclusion of finite dimensional $\c^*$-algebras $B_0\subset B_1$ and on a $II_1$ factor $P$. Under suitable assumptions on the actions of $G$, this is a subfactor, whose Jones to er and standard invariant can be computed by using techniques of A. Wassermann. The subfactors associated to subgroups of compact groups, to projective representations of compact groups, to finite quantum groups, to finitely generated discrete groups, to vertex models and to spin models are of this form.

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