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

  • Naoufel Battikh

    Université de Tunis El Manar, Tunisia
  • Hatem Issaoui

    Université de Carthage, Nabeul, Tunisia
Structures d’algèbre de Gerstenhaber–Voronov sur les formes différentielles non commutatives cover
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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.

Cite this article

Naoufel Battikh, Hatem Issaoui, Structures d’algèbre de Gerstenhaber–Voronov sur les formes différentielles non commutatives. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 165–183

DOI 10.4171/RSMUP/20