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.References
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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