Classification of semicrossed products of finite-dimensional 𝐶*-algebras
العنوان: | Classification of semicrossed products of finite-dimensional 𝐶*-algebras |
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المؤلفون: | Justin Peters, Luz M. DeAlba |
المصدر: | Proceedings of the American Mathematical Society. 95:557-564 |
بيانات النشر: | American Mathematical Society (AMS), 1985. |
سنة النشر: | 1985 |
مصطلحات موضوعية: | Pure mathematics, Jordan algebra, Applied Mathematics, General Mathematics, Subalgebra, Algebra representation, Cellular algebra, Isomorphism, Automorphism, Unitary state, Mathematics |
الوصف: | Let A \mathfrak {A} , B \mathfrak {B} be finite-dimensional C ∗ {C^*} -algebras with automorphisms α \alpha , β \beta , respectively. Then the semicrossed products Z + × α A {{\mathbf {Z}}^ + }{ \times _\alpha }\mathfrak {A} , Z + × β B {{\mathbf {Z}}^ + }{ \times _\beta }\mathfrak {B} are isomorphic iff there is an isomorphism ψ : A → B \psi :\mathfrak {A} \to \mathfrak {B} and a unitary U ∈ B U \in \mathfrak {B} such that β ∘ ψ = ( Ad U ) ψ ∘ α \beta \circ \psi = (\operatorname {Ad} U)\psi \circ \alpha . |
تدمد: | 1088-6826 0002-9939 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::2e4483f09bf4e49d1a8114d972b17806 https://doi.org/10.1090/s0002-9939-1985-0810163-3 |
حقوق: | OPEN |
رقم الأكسشن: | edsair.doi...........2e4483f09bf4e49d1a8114d972b17806 |
قاعدة البيانات: | OpenAIRE |
تدمد: | 10886826 00029939 |
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