منابع مشابه
Twistings, Crossed Coproducts, and Hopf-galois Coextensions
Let H be a Hopf algebra. Ju and Cai introduced the notion of twisting of an H-module coalgebra. In this note, we study the relationship between twistings, crossed coproducts and Hopf-Galois coextensions. In particular, we show that a twisting of an H-Galois coextension remains H-Galois if the twisting is invertible.
متن کاملMorita Equivalence of Twisted Crossed Products
We introduce a natural notion of strong Morita equivalence of twisted actions of a locally compact group on C*-algebras, and then show that the corresponding twisted crossed products are strongly Morita equivalent. This result is a generalization of the result of Curto, Muhly and Williams concerning strong Morita equivalence of crossed products by actions.
متن کاملCoproducts of Crossed P-modules: Applications to Second Homotopy Groups and to the Homology of Groups
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متن کاملCrossed Products of Locally C-algebras and Morita Equivalence
We introduce the notion of strong Morita equivalence for group actions on locally C-algebras and prove that the crossed products associated with two strongly Morita equivalent continuous inverse limit actions of a locally compact group G on the locally C∗-algebras A and B are strongly Morita equivalent. This generalizes a result of F. Combes, Proc. London Math. Soc. 49(1984) and R. E. Curto, P....
متن کاملLoop Coproducts
In this paper we show that if A is a Poisson algebra equipped with a set of maps ∆ (i) λ : A → A ⊗ N satisfying suitable conditions, then the images of the Casimir functions of A under the maps ∆ (i) λ (that we call " loop coproducts ") are in involution. Rational, trigonometric and elliptic Gaudin models can be recovered as particular cases of this result, and we show that the same happens for...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 1999
ISSN: 1370-1444
DOI: 10.36045/bbms/1103141035