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Licensed Unlicensed Requires Authentication Published by De Gruyter June 16, 2009

A Galois correspondence for compact quantum group actions

  • Reiji Tomatsu


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

Received: 2008-04-08
Published Online: 2009-06-16
Published in Print: 2009-August

© Walter de Gruyter Berlin · New York 2009

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