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Free coactions of a finite dimensional $C^*$-Hopf algebra and strong Morita equivalence

Published 26 Mar 2020 in math.OA | (2003.11695v2)

Abstract: We shall introduce a notion of free coactions of a finite dimensional $C*$-Hopf algebra on a $C*$-algebra modifying a notion of free actions of a discrete group on a $C*$-algebra and we shall study several properties on coactions of a finite dimensional $C*$-Hopf algebra on $C*$-algebras, which are relating to strong Morita equivalence for inclusions of $C*$-algebras.

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