A Galois correspondence for compact quantum group actions

Details A Galois correspondence for compact quantum group actions A Galois correspondence for compact quantum group actions

2008-01-08

arxiv.org/abs/0801.1233v1

Mathematics

Operator Algebras

18 pages

Scientific paper

We establish a Galois correspondence for a minimal action of a compact quantum group ${\mathbb G}$ on a von Neumann factor $M$. This extends the result of Izumi, Longo and Popa who treated the case of a Kac algebra. Namely, there exists a one-to-one correspondence between the lattice of left coideals of ${\mathbb G}$ and that of intermediate subfactors of $M^{\mathbb G}\subset M$.

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