Specialization of Crossed Products

Mary Schaps

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)5781-5792
Number of pages12
JournalCommunications in Algebra
Issue number12
StatePublished - Dec 2003

Bibliographical note

Funding Information:
Mary Schaps was partially supported by a grant from the Bar-Ilan Research Authority.


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