Boundary representations and tensor products of 𝐶*-algebras

Hopenwasser, Alan

doi:10.1090/S0002-9939-1978-0482241-9

Boundary representations and tensor products of $C^*$-algebras
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Proc. Amer. Math. Soc. 71 (1978), 95-98 Request permission

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.

References

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Tensor products of

algebras

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