Article

Additive derivations on generalized Arens algebras

10/2010; DOI:abs/1010.5117
Source: arXiv

ABSTRACT Given a von Neumann algebra $M$ with a faithful normal finite trace $\tau$ denote by $L^\Lambda(M, \tau)$ the generalized Arens algebra with respect to $M.$ We give a complete description of all additive derivations on the algebra $L^\Lambda(M, \tau).$ In particular each additive derivation on the algebra $L^{\Lambda}(M, \tau),$ where $M$ is a type II von Neumann algebra, is inner.

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5 Feb 2013

Keywords

complete description

faithful normal finite trace $\tau$

inner

type II von Neumann algebra

von Neumann algebra $M$