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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Subhomogeneous AF $C^ \ast$-algebras and their Fubini products. II
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by Seung-Hyeok Kye PDF
Proc. Amer. Math. Soc. 97 (1986), 244-246 Request permission

Abstract:

If $C$ is a nuclear ${C^*}$-subalgebra of a ${C^*}$-algebra $A$, then we have $C \otimes D = (A \otimes D) \cap (C \otimes B)$ for any ${C^*}$-algebras $B$ and $D$ with $D \subset B$. Using this, we show that if $A$ and $B$ are AF algebras and $A{ \otimes _F}B = A \otimes B$, then either $A$ or $B$ must be subhomogeneous.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 244-246
  • MSC: Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0835873-4
  • MathSciNet review: 835873