- 471 Downloads
Since cyclic homology is, in a certain sense, a variant of Hochschild homology we begin with a chapter on this theory. Most of the material presented here is classical and has been known for more than thirty years (except Sect. 1.4). However our presentation is adapted to fit in with the subsequent chapters.
KeywordsExact Sequence Spectral Sequence Homology Group Simplicial Module Hochschild Cohomology
Unable to display preview. Download preview PDF.
Bibliographical Comments on Chapter 1
- Lipman, J., Residues and traces of differential forms via Hochschild homology, Contemporary Mathematics 611987.Google Scholar
- Hochschild, G., Kostant, B., Rosenberg, A., Differential forms on regular affine algebras, Trans. Ams 102 (1962), 383–408. 26# 167Google Scholar
- Gabriel, P., Zisman, M., Calculus of fractions and homotopy theory, Erg. Math., Springer, 1967.Google Scholar
- May, J.P., Simplicial objects in algebraic topology, Van Nostrand, Princeton, 1967Google Scholar
- Bousfield, A.K., Kan, D.M., Homotopy limits, completions and localizations, Springer Lect. Notes in Math. 304, 1972.Google Scholar