منابع مشابه
On Morita Equivalence of Group Actions on Locally C-algebras
In this paper, we prove that two continuous inverse limit actions α and β of a locally compact group G on the locally C-algebras A and B are strongly Morita equivalent if and only if there is a locally C-algebra C such that A and B appear as two complementary full corners of C and there is a continuous action γ of G on C which leaves A and B invariant such that γ|A = α and γ|B = β. This general...
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We show that important structural properties of C∗-algebras and the multiplicity numbers of representations are preserved under Morita equivalence.
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In this paper, we study the Morita context for arbitrary semigroups. We prove that, for two semigroups S and T, if there exists a Morita context (S, T, P,Q, τ, μ) (not necessary unital) such that the maps τ and μ are surjective, the categories US-FAct and UT -FAct are equivalent. Using this result, we generalize Theorem 2 in [2] to arbitrary semigroups. Finally, we give a characterization of Mo...
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We show that important structural properties of C∗-algebras and the multiplicity numbers of representations are preserved under Morita equivalence.
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....
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1982
ISSN: 0022-4049
DOI: 10.1016/0022-4049(82)90109-8