A Galois correspondence for compact quantum group actions

Reiji Tomatsu

doi:10.1515/CRELLE.2009.063

A Galois correspondence for compact quantum group actions

Reiji Tomatsu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We establish a Galois correspondence for a minimal action of a compact quantum group 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 and that of intermediate subfactors of M ⊂ M.

Original language	English
Pages (from-to)	165-182
Number of pages	18
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	633
DOIs	https://doi.org/10.1515/CRELLE.2009.063
Publication status	Published - 2009 Aug
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1515/CRELLE.2009.063

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A Galois correspondence for compact quantum group actions

Abstract

ASJC Scopus subject areas

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