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arXiv · 0801.1233

A Galois correspondence for compact quantum group actions

Reiji Tomatsu
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Abstract

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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Reiji Tomatsu. 2008-01-08. A Galois correspondence for compact quantum group actions. https://arxiv.org/abs/0801.1233

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