Graph Groupoids and Their Topology
List Price: $64.00
Publisher: VDM Verlag Dr. Mueller e.K.
Binding: Trade Paper
Size: 6.00" wide x 9.00" long x 0.17" tall
The book investigates graph groupoids and the path spaces associated with their unit spaces. Three main questions are solved. For the first, a natural question that was asked by A.Kumjian in the case of the Cuntz graph was how the topological space X relates to an earlier topological space investigated by J. Renault (Orleans). I show that the two topological spaces are homeomorphic and so can be identified. I then discuss the graph groupoid in the general case. For this investigation, it is important to be able to use the axiomatic approach to groupoids, and I show that this is equivalent to the usual definition of a groupoid as a "small category with inverses." This proof of this More...
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