非交换2-环面的全循环上同调
The Entire Cyclic Cohomology of Noncommutative 2-Tori
摘要：
本文的目的是计算非交换2-环面的全循环上同调。首先，根据Elliott-Evans的思想，阐明了它们作为$F^*$ -代数的非交换2-环面的代数结构.实际上，它们是次齐次$F^*$ -代数的归纳极限.利用这样的结果，我们计算了它们的整个循环上同调，它同构于它们作为复向量空间的周期上同调。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
