A Galois correspondence for compact quantum group actions

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Tomatsu, Reiji
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Abstract
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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 $M^{\mathbb G}\subset M$.
Comment: 18 pages
Keywords
Mathematics - Operator Algebras, 46L65 (Primary) 46L55 (Secondary)
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