On the Cyclic Homology of Commutative Algebras over Arbitrary Ground Rings

Abstract

Section 1 contains the definitions, results and notations used in the paper. Section 2 is devoted to computing the homology of free algebras. The spectral sequences (1) are obtained in 2.1-2.2; the degeneracy result is proved in 2.3.; the fact that the same degeneracy result is not valid for general free algebras AV with V∙2 ≠ 0 -unless k ⊃ Q- is proved in 2.4. In Section 3 we apply the results of section 2 to complete intersections (Theorem 3.0 and Corollary 3.1).