Graph C*-algebras, branching systems and the Perron-Frobenius operator - Mathematics > Operator Algebras

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Abstract: In this paper we show how to produce a large number of representations of agraph C*-algebra in the space of the bounded linear operators in $L^2X,\mu$.These representations are very concrete and, in the case of graphs that satisfycondition K, we use our techniques to realize the associated graph C*-algebraas a subalgebra of the bounded operators in $L^2R$. We also show how todescribe some Perron-Frobenius operators in $L^1X,\mu$, in terms of therepresentations we associate to a graph.

Autor: Danilo Royer, Daniel Gonçalves

Fuente: https://arxiv.org/