Graph C*-algebras, branching systems and the Perron-Frobenius operator

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Goncalves, Daniel¹  Royer, Danilo¹ 

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

关键词: Graph C*-algebras;    Branching systems;    Perron-Frobenius operator;    Representations;   

DOI  :  10.1016/j.jmaa.2012.02.051

来源: Elsevier

【 摘 要 】

In this paper we show how to produce a large number of representations of a graph C*-algebra in the space of the bounded linear operators in L-2(X, mu). These representations are very concrete and, in the case of graphs that satisfy condition (L), we use our techniques to realize the associated graph C*-algebra as a subalgebra of the bounded operators in L-2(R). We also show how to describe the Perron-Frobenius operator of ergodic theory in terms of the representations we associate to a graph. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free