Characterization of subdiagonal algebras

Bekjan, Turdebek

doi:10.1090/S0002-9939-2010-10673-1

Characterization of subdiagonal algebras
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by Turdebek N. Bekjan PDF

Proc. Amer. Math. Soc. 139 (2011), 1121-1126 Request permission

Abstract:

Let $\mathcal {M}$ be a finite von Neumann algebra with a faithful normal tracial state $\tau ,$ and let $\mathcal {A}$ be a tracial subalgebra of $\mathcal {M}.$ We show that $\mathcal {A}$ has $L^{p}$-factorization ($1\leq p<\infty$) if and only if $\mathcal {A}$ is a subdiagonal algebra. Also, we obtain some characterizations of subdiagonal algebras.

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