Geodesic
Cyclic Cohomology of Non-Commutative Tori
Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1046-1057

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we shall compute the cyclic cohomology of a non-commutative torus, i.e., a certain algebra associated with an antisymmetric bicharacter of a finite rank free abelian group G.The main result is 1.1 where The method of computation generalises the computation of the cyclic cohomology of the irrational rotation algebras given by Connes in [3]. (Our method works equally well also in the rational case, which was dealt with by a different method by Connes in [3].)We first describe the Hochschild cohomology of in an explicit way, and then combine this description with the exact sequence of [3]: 1.2 
Nest, Ryszard. Cyclic Cohomology of Non-Commutative Tori. Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1046-1057. doi: 10.4153/CJM-1988-042-8
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