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arxiv: 1205.1679 · v1 · pith:5VXVGTSUnew · submitted 2012-05-08 · 🧮 math.OA

Symmetry and quasi-centrality of operator space projective tensor product

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keywords otimesproductprojectivespacetensoroperatorquasi-centralityalgebra
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For $C^{*}$-algebras $A$ and $B$, the operator space projective tensor product $A\hat{\otimes}B$ and the Banach space projective tensor product $A\otimes_{\gamma}B$ are shown to be symmetric. We also show that $A\hat{\otimes}B$ is weakly Wiener algebra. Finally, quasi-centrality, and the unitary group of $A\hat{\otimes}B$ are discussed.

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