The Entire Cyclic Cohomology of Noncommutative 2-Tori

Details The Entire Cyclic Cohomology of Noncommutative 2-Tori The Entire Cyclic Cohomology of Noncommutative 2-Tori

2007-09-10

arxiv.org/abs/0709.1253v10

Mathematics

K-Theory and Homology

21 pages

Scientific paper

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 $F^*$-algebra, according to the idea of Elliott-Evans. Actually, they are the inductive limit of subhomogeneous $F^*$-algebras. Using such a result, we compute their entire cyclic cohomology, which is isomorphic to their periodic one as a complex vector space.

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