3 papers
math.KT2020
An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the -theoretic index
Peter Hochs, Bai-Ling Wang, Hang Wang
Consider a proper, isometric action by a unimodular locally compact group on a Riemannian manifold with boundary, such that is compact. Then an equivariant Dirac-type…
math.KT2020
An equivariant orbifold index for proper actions
Peter Hochs, Hang Wang
For a proper, cocompact action by a locally compact group of the form , with compact, we define an -equivariant index of -transversally elliptic oper…
math.NT2019
A K-theoretic Selberg trace formula
Bram Mesland, Mehmet Haluk Sengun, Hang Wang
Let G be a semisimple Lie group and H a uniform lattice in G. The Selberg trace formula is an equality arising from computing in two different ways the traces of convolution operat…