论文标题
稳定的唯一定理卡斯帕罗夫理论
The stable uniqueness theorem for equivariant Kasparov theory
论文作者
论文摘要
本文研究并加强了对近似Kasparov理论的Cuntz-Thomsen图片，用于任意的第二个局部紧凑型组，其中c*domanical Systems之间的某些共生表示给出了元素。主要结果是稳定的唯一定理，它概括了林和达达拉特 - 伊勒斯对普通$ kk $理论的基本表征。在此过程中，我们证明了同性恋同py的等效关系与稳定操作员同型的（先验强度更强的）等效关系相符的事实，这是一个均等的cuntz-thomsen图片类似物。本文证明的结果将被用作作者即将到来的作品的技术核心，以通过Equivariant Kasparov理论对Kirchberg代数的某些不及时的群体行为进行分类。
This paper examines and strengthens the Cuntz-Thomsen picture of equivariant Kasparov theory for arbitrary second-countable locally compact groups, in which elements are given by certain pairs of cocycle representations between C*-dynamical systems. The main result is a stable uniqueness theorem that generalizes a fundamental characterization of ordinary $KK$-theory by Lin and Dadarlat-Eilers. Along the way, we prove an equivariant Cuntz-Thomsen picture analog of the fact that the equivalence relation of homotopy agrees with the (a priori stronger) equivalence relation of stable operator homotopy. The results proved in this paper will be employed as the technical centerpiece in forthcoming work of the authors to classify certain amenable group actions on Kirchberg algebras by equivariant Kasparov theory.
