Kód: 06810845
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 ... celý popis
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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.
Zařazení knihy Knihy v angličtině Mathematics & science Mathematics
1506 Kč
Osobní odběr Praha, Brno a 12903 dalších
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