Local maps and the representation theory of operator algebras
Operator Algebras
2015-02-10 v2
Abstract
Using representation theory techniques we prove that various spaces of derivations or one-sided multipliers over certain operator algebras are reflexive. A sample result: any bounded local derivation (local left multiplier) on an automorphic semicrossed product is a derivation (resp. left multiplier). In the process we obtain various results of independent interest. In particular, the finite dimensional nest representations of the tensor algebra of a topological graph separate points.
Keywords
Cite
@article{arxiv.1502.00591,
title = {Local maps and the representation theory of operator algebras},
author = {Elias G. Katsoulis},
journal= {arXiv preprint arXiv:1502.00591},
year = {2015}
}
Comments
The paper will appear in the Transactions of the AMS. Several typos corrected. 23 pages