A Galois correspondence for compact quantum group actions

الأصل · EN

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.