T. S. Kalandarov

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Articles: 1

The involutive automorphisms of $\tau$-compact operators affiliated with a type I von Neuman algebra

MFAT 14 (2008), no. 1, 54-59

54-59

Let $M$ be a type I von Neumann algebra with a center $Z,$ and a faithful normal semi-finite trace $\tau.$ Consider the algebra $L(M, \tau)$ of all $\tau$-measurable operators with respect to $M$ and let $S_0(M, \tau)$ be the subalgebra of $\tau$-compact operators in $L(M, \tau).$ We prove that any $Z$-linear involutive automorphisms of $S_0(M, \tau)$ is inner.

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