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

Francesco Fidaleo

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

Operator Algebras 2007-05-23 v1 Functional Analysis

Authors: Francesco Fidaleo

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 $\sigma$ --finite case.

Keywords

w*-algebras w*-tensor product predual reduction theory sigma-finite case

Cite

@article{arxiv.math/0411203,
  title  = {The structure of the $W^{*}$--tensor product over a $W^{*}$--subalgebra and its predual ($\sigma$--finite case)},
  author = {Francesco Fidaleo},
  journal= {arXiv preprint arXiv:math/0411203},
  year   = {2007}
}

Comments

12 pages