Let M be a type I von Neumann algebra with the center Z, and a faithful normal semi-finite trace τ. Consider the algebra L(M, τ) of all τ-measurable operators with respect to M and let S 0(M, τ) be the subalgebra of τ-compact operators in L(M, τ). We prove that any Z-linear derivation of S 0(M, τ) is spatial and generated by an element from L(M, τ).
Positivity – Springer Journals
Published: Jan 11, 2008
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