Classification of semicrossed products of finite-dimensional $C^ \ast$-algebras
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- by Luz M. DeAlba and Justin Peters PDF
- Proc. Amer. Math. Soc. 95 (1985), 557-564 Request permission
Abstract:
Let $\mathfrak {A}$, $\mathfrak {B}$ be finite-dimensional ${C^*}$-algebras with automorphisms $\alpha$, $\beta$, respectively. Then the semicrossed products ${{\mathbf {Z}}^ + }{ \times _\alpha }\mathfrak {A}$, ${{\mathbf {Z}}^ + }{ \times _\beta }\mathfrak {B}$ are isomorphic iff there is an isomorphism $\psi :\mathfrak {A} \to \mathfrak {B}$ and a unitary $U \in \mathfrak {B}$ such that $\beta \circ \psi = (\operatorname {Ad} U)\psi \circ \alpha$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 557-564
- MSC: Primary 46L55; Secondary 46H20, 46L40
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810163-3
- MathSciNet review: 810163