On transfer operators for C*-dynamical systems
算子代数
2013-11-20 v2 动力系统
摘要
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.
引用
@article{arxiv.math/0703798,
title = {On transfer operators for C*-dynamical systems},
author = {B. K. Kwaśniewski},
journal= {arXiv preprint arXiv:math/0703798},
year = {2013}
}
备注
12 pages, to appear in Rocky Mountain J. Math