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- W2890804295 abstract "We analyze certain algebraic structures of the Banach space projective tensor product of $C^*$-algebras which are comparable with their known counterparts or the Haagerup tensor product and the operator space projective tensor product of $C^*$-algebras. Highlights of this analysis include (a) injectivity of the Banach space projective tensor product when restricted to the tensor products of $C^*$-algebras, (b) detailed structure of closed ideals of $A otimes_{gamma} B$ in terms of those of $A$ and $B$, (c) identification of certain spaces of ideals of $A otimes_{gamma} B$ in terms of those of $A$ and $B$ from the perspective of hull-kernel topology, and (d) identification of the center of $A otimes_{gamma} B$ with $Z(A) otimes_{gamma} Z(B)$, where $A$ and $B$ are $C^*$-algebras." @default.
- W2890804295 created "2018-09-27" @default.
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- W2890804295 date "2018-09-04" @default.
- W2890804295 modified "2023-09-26" @default.
- W2890804295 title "On Banach space projective tensor product of $C^*$-algebras" @default.
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