Structures d’algèbre de Gerstenhaber–Voronov sur les formes différentielles non commutatives
Battikh, Naoufel1 ; Issaoui, Hatem2
1 Université de Tunis El Manar, Tunisia
2 Université de Carthage, Nabeul, Tunisia
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 165-183.
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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.

Publié le :
DOI : 10.4171/RSMUP/20
Classification : 55, 00
Mots-clés : Noncommutative differential forms, Gerstenhaber–Voronov algebra
Battikh, Naoufel 1 ; Issaoui, Hatem 2

1 Université de Tunis El Manar, Tunisia
2 Université de Carthage, Nabeul, Tunisia 
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     author = {Battikh, Naoufel and Issaoui, Hatem},
     title = {Structures d{\textquoteright}alg\`ebre de {Gerstenhaber{\textendash}Voronov} sur les formes diff\'erentielles non commutatives},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {165--183},
     publisher = {European Mathematical Society Publishing House},
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     year = {2019},
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Battikh, Naoufel; Issaoui, Hatem. Structures d’algèbre de Gerstenhaber–Voronov sur les formes différentielles non commutatives. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 165-183. doi : 10.4171/RSMUP/20. http://www.numdam.org/articles/10.4171/RSMUP/20/

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