Cleft extensions of weak Hopf algebras

Published 7 Nov 2018 in math.RA | (1811.02909v3)

Abstract: In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalent and we prove that if H is a weak Hopf algebra, then the categories of H-cleft extensions of an algebra A, and of unitary crossed products of A by H, are equivalent.

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