On transfer operators for C*-dynamical systems
Operator Algebras
2013-11-20 v2 Dynamical Systems
Abstract
The theme of the paper is the question of existence and basic structure of transfer operators for endomorphisms of a unital C*-algebra. We establish a complete description of non-degenerate transfer operators, characterize complete transfer operators and clarify their role in crossed product constructions. Also, we give necessary and sufficient conditions for existence of transfer operators for commutative systems, and discuss their form for endomorphisms of B(H) which is relevant to Kadison-Singer problem.
Cite
@article{arxiv.math/0703798,
title = {On transfer operators for C*-dynamical systems},
author = {B. K. Kwaśniewski},
journal= {arXiv preprint arXiv:math/0703798},
year = {2013}
}
Comments
12 pages, to appear in Rocky Mountain J. Math