Hochschild and cyclic homology of an almost commutative cochain algebra associated to a nilmanifold

摘要

A nilmanifold, as defined by Malcev [Ma], is a compact manifold N which is the space of cosets of a simply connected Lie group by discrete uniform subgroup G. Thus the manifold N can be identified with the Eilenberg-MacLane space K(G, 1), where G = π_1(N) is a finitely generated torsion free nilpotent group.