Bücher von Joachim Cuntz

Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. Cyclic theory is the natural setting for a variety of general abstract index theorems.

Topological K-theory is one of the most important invariants for noncommutative algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.