Homotopy Theory of C*-Algebras

Homotopy Theory of C*-Algebras
Author :
Publisher : Springer Science & Business Media
Total Pages : 142
Release :
ISBN-10 : 9783034605656
ISBN-13 : 303460565X
Rating : 4/5 (65X Downloads)

Book Synopsis Homotopy Theory of C*-Algebras by : Paul Arne Østvær

Download or read book Homotopy Theory of C*-Algebras written by Paul Arne Østvær and published by Springer Science & Business Media. This book was released on 2010-09-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.


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