![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
We show that any weak crossed product which is a specialization of a crossed product satisfies an extendability condition on the cocycle and a monomial lifting condition on its idempotent cocycle. We interpret the idempotent condition in terms of the partial ordering induced on the cosets of the associated group. The results are applied to weakly Azumaya algebras.
Acknowledgment
Mary Schaps was partially supported by a grant from the Bar-Ilan Research Authority.