2-locl derivations on some C*-algebras
Operator Algebras
2017-11-21 v1
Abstract
In this paper, we introduce the concept of trace-open projections in the second dual A** of a C*-algebra A, and we show that if there is a faithful normal semi-finite trace T on A**, and 1 is a T-open projection, then each 2-local derivation D from A to A** is an inner derivartion. We also show that this theorem hold for approximately 2-local derivations when A** is finite as a von neumann algebra.
Cite
@article{arxiv.1711.07293,
title = {2-locl derivations on some C*-algebras},
author = {Meysan Habibzadeh Fard and Abbas Sahleh},
journal= {arXiv preprint arXiv:1711.07293},
year = {2017}
}
Comments
7 pages