About this Book

The book is a basic introduction to the subject, divided into three parts. The first, Chapters 1 and 2, is background material on exact couples and Hochschild homology for the beginning reader. In Chapters 3, 4, 5 three definitions of cyclic homology are considered, its invariance under Morita equivalence, its relation to Lie algebra homology, and the Connes' B operator. The third part, Chapters 6 and 7, relates cyclichomology to differential forms and shows how the Chern character takes values in cyclic homology. Included is the classical Hochschild-Kostant-Rosenberg theorem relating differential forms to Hochschild homology.