TY - BOOK AU - Ostvaer, Paul Arne TI - Homotopy theory of C SN - 9783034605649 U1 - 514.24 PY - 2010/// CY - Boston PB - Birkhauser KW - Homotopy theory N1 - 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 ER -