Homotopy theory of C/
Ostvaer, Paul Arne
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
9783034605649
Homotopy theory
514.24 / OST/H
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
9783034605649
Homotopy theory
514.24 / OST/H