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.
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