Graph Groupoids and their Topology (Paperback)

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 equivalence answers the second main question. The last is to construct the graph groupoid and prove that it is a second countable, locally compact, Hausdorff groupoid.

General

Imprint:	VDM Verlag Dr. Mueller E.K.
Country of origin:	Germany
Release date:	July 2008
First published:	July 2008
Authors:	Adrian Wilson
Dimensions:	229 x 152 x 4mm (L x W x T)
Format:	Paperback - Trade
Pages:	84
ISBN-13:	978-3-639-00748-0
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	3-639-00748-4
Barcode:	9783639007480

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