An equivariant Poincaré duality for proper cocompact actions by matrix groups

Journal of noncommutative geometry

article

Hao Guo¹  Varghese Mathai² 

[1] Texas A&M University, College Station;University of Adelaide

关键词: Poincaré duality;    equivariant;    matrix groups;    linear groups;   

DOI  :  10.4171/jncg/468

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

Let GGG be a linear Lie group acting properly on a GGG-spinc\mathrm{spin}^cspinc manifold MMM with compact quotient. We give a short proof that Poincaré duality holds between GGG-equivariant KKK-theory of MMM, defined using finite-dimensional GGG-vector bundles, and GGG-equivariant KKK-homology of MMM, defined through the geometric model of Baum and Douglas.

【 授权许可】

CC BY