Homotopy theory of C/
Paul Arne Ostvaer
- Boston: Birkhauser, 2010.
- 139 p. ; 24 cm.
- (Frontiers in mathematics) .
1 Introduction 2 Preliminaries 2.1 C*-spaces 2.2 G - C*-spaces 2.3 Model categories 3 Unstable C*-homotopy theory 3.1 Pointwise model structures 3.2 Exact model structures 3.3 Matrix invariant model structures 3.4 Homotopy invariant model structures 3.5 Pointed model structures 3.6 Base change 4 Stable C*-homotopy theory 4.1 C*-spectra 4.2 Bispectra 4.3 Triangulated structure 4.4 Brown representability 4.5 C*-symmetric spectra 4.6 C*-functors 5 Invariants 5.1 Cohomology and homology theories 5.2 KK-theory and the Eilenberg-MacLane spectrum 5.3 HL-theory and the Eilenberg-MacLane 5.4 The Chern-Connes-Karoubi character 5.5 K-theory of C*-algebras 5.6 Zeta functions 6 The slice filtration