Structures d’algèbre de Gerstenhaber–Voronov sur les formes différentielles non commutatives

Abstract

The algebra of noncommutative differential forms has been defined by A. Connes in [4]. Using this algebra, M. Karoubi has defined cyclic homology and Hochschild homology groups (see [13]). These groups are related to the algebraic K-theory. The purpose of this paper is to provide the noncommutative differential forms algebra with the structure of Gerstenhaber–Voronov algebras.