图C* 代数、分支系统和Perron-Frobenius算子
Graph C*-algebras, branching systems and the Perron-Frobenius operator
摘要：
本文给出了如何在$L^2(X,μ)$的有界线性算子空间中产生图C* 代数的大量表示。这些表示是非常具体的，在满足条件（K）的图的情况下，我们使用我们的技术来实现关联图C* 代数作为$L^2(R)$中有界算子的子代数。我们还展示了如何在$L^1(X,μ)$中描述一些Perron Frobenius算子，根据我们与图相关联的表示。
英文摘要：
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 $L^2(X,μ)$. These representations are very concrete and, in the case of graphs that satisfy condition (K), 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 some Perron-Frobenius operators in $L^1(X,μ)$, in terms of the representations we associate to a graph.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
