Format:
Online-Ressource
,
v.: digital
Edition:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
ISBN:
1282982710
,
9783034605656
,
9781282982710
Series Statement:
Frontiers in Mathematics
Content:
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.
Note:
Description based upon print version of record
,
Homotopy Theory of C*-Algebras; Contents; 1 Introduction; 2 Preliminaries; 3 Unstable C*-homotopy theory; 4 Stable C*-homotopy theory; 5 Invariants; 6 The slice filtration; Bibliography;
,
Electronic reproduction; Available via World Wide Web
Additional Edition:
ISBN 1282982397
Additional Edition:
ISBN 9783034605649
Language:
English
Subjects:
Mathematics
Keywords:
C-Stern-Algebra
;
Homotopietheorie
DOI:
10.1007/978-3-0346-0565-6
URL:
Volltext
(lizenzpflichtig)