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Title:
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An overview of Uniform Roe Algebras: Asymptotic Dimension and Real Rank
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Author:
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Vilalta Vila, Eduard
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Burillo Puig, José; Perera Domenech, Francesc |
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Abstract:
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The aim of this master thesis is to study the relation between the real rank of uniform Roe algebras and the asymptotic dimension of the space with which they are defined. As a consequence of some recent results on the subject, the study will be focused on uniform Roe algebras arising from countable group metric spaces. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
-Operator theory
-Operator Algebras (math.OA)
-K-Theory and Homology (math.KT)
-Metric Geometry (math.MG)
-Operadors, Teoria dels
-Classificació AMS::47 Operator theory |
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Rights:
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Document type:
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Research/Master Thesis |
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Published by:
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Universitat Politècnica de Catalunya
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