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Proceedings of the American Mathematical Society

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An intersection result for tensor products of $ C\sp{\ast} $-algebras


Author: Tadasi Huruya
Journal: Proc. Amer. Math. Soc. 75 (1979), 186-187
MSC: Primary 46L05; Secondary 46M05
DOI: https://doi.org/10.1090/S0002-9939-1979-0529239-0
MathSciNet review: 529239
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Abstract: There exists a $ {C^\ast}$-tensor product $ A \otimes B$ with $ {C^\ast}$-subalgebras $ {A_1} \otimes {B_1}$ and $ {A_2} \otimes {B_2}$ such that $ ({A_1} \otimes {B_1}) \cap ({A_2} \otimes {B_2})$ strictly contains $ ({A_1} \cap {A_2}) \otimes ({B_1} \cap {B_2})$.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0529239-0
Keywords: $ {C^\ast}$-algebra, tensor product
Article copyright: © Copyright 1979 American Mathematical Society