Cyclic Homology of Algebras

Title
Table of contents
Introduction
I. Cyclic (co)homology and Hochschild (co)homology
I.1. Preliminaries: Spectral sequences
I.1.1. Filtered Complexes and Exact Couples
I.1.2. The Spectral Sequence associated with an Exact Couple
I.1.3. Convergence of a Spectral Sequence
I.1.4. Double Complexes and their Spectral Sequences
I.2. Cyclic (co)homology and Hochschild (co)homology
I.2.1. The double complex C(A)
I.2.2. The cyclic homology of an associative algebra
I.2.3. Generalities about Mixed Complexes
I.2.4. Cyclic Homology and Hochschild Homology
I.2.5. Nonunital and Reduced Cyclic Homology
I.2.6. Cyclic Cohomology
I.2.7. Morita-invariance of Hochschild homology and of cyclic homology.
Comments on Chapter I
References to chapter I
II. Particularities in characteristic zero
II.1. Relation to de Rham theory
II.1.1. A first approach: Noncommutative de Rham complexes
II.1.2. Cyclic homology and de Rham cohomology of commutative algebras
II.2. Relation to Lie theory
II.2.1. Preliminaries around invariant theory
II.2.2. Cyclic homology and the Lie algebra homology of matrices
Comments on chapter II
References to chapter II
Further References
List of Symbols and Notations
Index