K-Homology and Analytic Surgery of Finite Groups

Examensarbete för masterexamen

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Type: Examensarbete för masterexamen
Title: K-Homology and Analytic Surgery of Finite Groups
Authors: Ekenstam, Jack
Abstract: In this master’s thesis, the K-homology of classifying spaces of finite groups and analytical surgery of finite groups are studied. The first part of the thesis introduces the theory necessary to formulate the main results. The main results, i.e. the calculation of the K-homology of the classifying space of a finite group and a generalization to certain infinite groups, are found in Chapter 5. In addition to the presentation of theoretical tools, examples are discussed to aid the reader’s intuition. The intended audience is graduate students with basic understanding of topology and functional analysis.
Keywords: K-homology, analytic surgery, classifying spaces, finite groups, K-theory.
Issue Date: 2020
Publisher: Chalmers tekniska högskola / Institutionen för matematiska vetenskaper
URI: https://hdl.handle.net/20.500.12380/301013
Collection:Examensarbeten för masterexamen // Master Theses



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