Classification of semicrossed products of finite-dimensional 𝐶*-algebras

التفاصيل البيبلوغرافية
العنوان: Classification of semicrossed products of finite-dimensional 𝐶*-algebras
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