Table of Contents
Since July 21, 2017
Since July 21, 2017
Part I Axiomatic K-theory
Since July 21, 2017
1.1 E-C*-algebras
1.2 The Axioms
1.3 Some Elementary Results
1.4 Tensor Products
1.5 The Class ϒ
1.6 The Class ϒ1
2.1 Tietze’s Theorem
2.2 Alexandroff Compactification
2.3 Topological Sums of Locally Compact Spaces
2.4 Homotopy
3 Some Selected Locally Spaces
3.1 Balls
3.2 Euclidean Spaces and Spheres
3.3 Some Morphisms
3.4 Some Non-orientable Compact Spaces
3.5 Pasting Locally Compact Spaces
4 Some Supplementary Results
4.1 Full E-C*-algebras
4.2 Continuity and Stability
Part II Projective K-theory
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5 Some Notation and the Axiom
6.1 K0 for CE
6.2 K0 for ME
6.3 Stability of K0
7.1 Definition of K1
7.2 The Index Map
7.3 K1( F) ≈ K0 (SF)
8.1 The Bott Map
8.2 Higman’s Linearization Trick
8.3 The Periodicity
9 Variation of the Parameters
9.1 Changing E
9.2 Changing f
Since July 21, 2017
Author(s)
Corneliu Constantinescu is emeritus professor of the Swiss Federal Institute of Technology Zürich. He worked in the Theory of Riemann surfaces, Axiomatic Potential Theory, Spaces of Measures, and C*-algebras and he published books in all these fields.
Description
The book consists of two parts. Part I is an axiomatic frame for the K-theory for C*-algebras. Some central results of this theory are heaved to the status of axioms and the other results are then derived from these axioms. In Part II the author constructs an example for this axiomatic theory which generalizes the classical theory for C*-algebras.