A Galois correspondence for compact quantum group actions

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dc.creatorTomatsu, Reiji
dc.date2008-01-08
dc.date.accessioned2026-07-07T08:53:17Z
dc.date.available2026-07-07T08:53:17Z
dc.descriptionWe 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 $M^{\mathbb G}\subset M$.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0801.1233
dc.identifierhttp://arxiv.org/abs/0801.1233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145567
dc.subjectOperator Algebras
dc.subject46L65 (Primary) 46L55 (Secondary)
dc.titleA Galois correspondence for compact quantum group actions
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