A Kadison-Sakai Type Theorem
Functional Analysis
2008-01-07 v2 Operator Algebras
Abstract
The celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-\sigma-derivations, where \sigma is an ultraweakly continuous surjective *-linear mapping. We decompose a -derivation into a sum of an inner \sigma-derivation and a multiple of a homomorphism. The so-called *-(\sigma,\tau)-derivations are also discussed.
Keywords
Cite
@article{arxiv.math/0510267,
title = {A Kadison-Sakai Type Theorem},
author = {M. Mirzavaziri and M. S. Moslehian},
journal= {arXiv preprint arXiv:math/0510267},
year = {2008}
}
Comments
10 pages, completely revised