论文标题
较高的同型Cuntz类
Higher homotopy groups of Cuntz classes
论文作者
论文摘要
令$ a $为一个Unital简单可分开的精确c $^*$ - 代数，大约可以分开并且实际等级为零。我们证明，$ a $中的一组正元素与固定的非压缩Cuntz类具有消失的同型组。结合S. Zhang的工作，对于紧凑元素的情况，这给出了这些代数的Cuntz类的同型组的完整计算。涵盖的例子包括大约有限维（AF）代数和非公共托里。
Let $A$ be a unital simple separable exact C$^*$-algebra which is approximately divisible and of real rank zero. We prove that the set of positive elements in $A$ with a fixed non-compact Cuntz class has vanishing homotopy groups. Combined with work of S. Zhang for the case of compact elements, this gives a complete calculation of the homotopy groups of Cuntz classes for these algebras. Examples covered include approximately finite-dimensional (AF) algebras and irrational noncommutative tori.
