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.
| Original language | Spanish |
|---|---|
| Pages (from-to) | 668-710 |
| Number of pages | 43 |
| Journal | Journal of Algebra |
| Volume | 547 |
| State | Published - 1 Apr 2020 |