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A Construction of Finite Index C*-algebra Inclusions from Free Actions of Compact Quantum Groups

A Construction of Finite Index C*-algebra Inclusions from Free Actions of Compact Quantum Groups

Given an action of a compact quantum group on a unital C*-algebra, one can amplify the action with an adjoint representation of the quantum group on a finite dimensional matrix algebra, and consider the resulting inclusion of fixed point algebras. We show that this inclusion is a finite index inclusion …