Tracial positive linear maps of $C^{\ast }$-algebras
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- by Man Duen Choi and Sze Kai Tsui PDF
- Proc. Amer. Math. Soc. 87 (1983), 57-61 Request permission
Abstract:
A positive linear map $\Phi :\mathfrak {A} \to \mathfrak {B}$ between two ${C^ * }$-algebras is said to be tracial if $\Phi ({A_1}{A_2}) = \Phi ({A_2}{A_1})$ for all ${A_i} \in \mathfrak {A}$. A tracial positive linear map $\mathfrak {A} \to \mathcal {B}\left (\mathcal {H} \right )$ is analyzed as the composition of a tracial positive linear map $\mathfrak {A} \to C(X)$ followed by a positive linear map $C(X) \to \mathcal {B}\left ( \mathcal {H} \right )$.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 57-61
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677231-9
- MathSciNet review: 677231