The Entire Cyclic Cohomology of Noncommutative 2-Tori

Abstract

Our aim in this paper is to compute the entire cyclic cohomology of noncommutative 2-tori. First of all, we clarify their algebraic structure of noncommutative 2-tori as a $F^{\ast }$-algebra, according to the idea of Elliott-Evans. Actually, they are the inductive limit of subhomogeneous $F^{\ast }$-algebras. Using such a result, we compute their entire cyclic cohomology, which is isomorphic to their periodic one as a complex vector space.

arXiv comment21 pages

References in corpus (2)

• Analytic cyclic cohomology
• On a generalized Connes-Hochschild-Kostant-Rosenberg theorem

Cited by in corpus (1)

• The Entire Cyclic Cohomology of Noncommutative 3-Spheres