全不连通的群的Chern character
Chern character for totally disconnected groups
摘要：
在Baum和Schneider意义下，本文构造了值为双变等变上同调的全不连通的群的等变KK-理论的双变Chern特征标.特别地，我们证明了对于一个全不连通的群，Baum-Connes猜想的复化左边同构于上同调.此外，还证明了我们的变换推广了Baum和Schneider定义的投射有限群的Chern特征标.
英文摘要：
In this paper we construct a bivariant Chern character for the equivariant KK-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider. We prove in particular that the complexified left hand side of the Baum-Connes conjecture for a totally disconnected group is isomorphic to cosheaf homology. Moreover, it is shown that our transformation extends the Chern character defined by Baum and Schneider for profinite groups.
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。
