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Proceedings of the American Mathematical Society

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Boundary representations and tensor products of $ C\sp*$-algebras


Author: Alan Hopenwasser
Journal: Proc. Amer. Math. Soc. 71 (1978), 95-98
MSC: Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-1978-0482241-9
MathSciNet review: 0482241
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Abstract: Let A and B be unital, generating linear subspaces of $ {C^ \ast }$-algebras $ \mathcal{A}$ and $ \mathcal{B}$, respectively. If either $ \mathcal{A}$ or $ \mathcal{B}$ is a GCR algebra, then the set of boundary representations for $ A \otimes B$ can be identified with the Cartesian product of the boundary representations for A with the boundary representations for B.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0482241-9
Article copyright: © Copyright 1978 American Mathematical Society

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