A Galois correspondence for compact quantum group actions

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5 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 languageEnglish
Pages (from-to)165-182
Number of pages18
JournalJournal fur die Reine und Angewandte Mathematik
Issue number633
DOIs
Publication statusPublished - 2009 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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