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Abstract
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 M𝔾 ⊂ M.
Received: 2008-04-08
Published Online: 2009-06-16
Published in Print: 2009-August
© Walter de Gruyter Berlin · New York 2009