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Graph Groupoids and their Topology

by Adrian Wilson
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Current price ₹4,511.00
Original price ₹5,145.00
Original price ₹5,145.00
Original price ₹5,145.00
(-12%)
₹4,511.00
Current price ₹4,511.00

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Book cover type: Paperback
  • ISBN13: 9783639007480
  • Binding: Paperback
  • Subject: N/A
  • Publisher: VDM Verlag Dr. Mueller E.K.
  • Publisher Imprint: VDM Verlag Dr. Mueller E.K.
  • Publication Date:
  • Pages: 84
  • Original Price: GBP 40.67
  • Language: English
  • Edition: N/A
  • Item Weight: 123 grams
  • BISAC Subject(s): General

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.

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