Lectures on Cyclic Homology

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.