×

Base change, transitivity and Künneth formulas for the Quillen decomposition of Hochschild homology. (English) Zbl 0785.13003

Denote by \(H_ n(A,M)\simeq\oplus_{p+q+n}D^ p_ q(A/k,M)\) the Quillen decomposition of the Hochschild groups. The authors prove base change, transitivity and Künneth formulas for all \(D^ p(A/k,M)\).

MSC:

13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)