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The structure of the $W^{*}$--tensor product over a $W^{*}$--subalgebra and its predual ($σ$--finite case)

Francesco Fidaleo
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Abstract

Let $M$, $N$, $R$ be $W^{*}$--algebras, with $R$ unitally embedded in both $M$ and $N$. by using Reduction Theory, we extend the previous description of the $W^{*}$--tensor product $M\bar\otimes_{R}N$ over the common $W^{*}$--subalgebra $R$ and its predual $(M\bar\otimes_{R}N)_{*}$ to the $σ$--finite case.

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Francesco Fidaleo. 2004-11-09. The structure of the $W^{*}$--tensor product over a $W^{*}$--subalgebra and its predual ($σ$--finite case). https://arxiv.org/abs/math/0411203

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