On transfer operators for C*-dynamical systems

Details On transfer operators for C*-dynamical systems On transfer operators for C*-dynamical systems

2007-03-27

arxiv.org/abs/math/0703798v2

Mathematics

Operator Algebras

12 pages, to appear in Rocky Mountain J. Math

Scientific paper

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.

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