31 citations · 151 across the 36 of their papers we have counts for
9 papers · 1 filter
A higher index and rapidly decaying kernels
Hao Guo, Peter Hochs, Hang Wang
We construct an index of first-order, self-adjoint, elliptic differential operators in the -theory of a Fréchet algebra of smooth kernels with faster than exponential off-diagon…
A higher index on finite-volume locally symmetric spaces
Hao Guo, Peter Hochs, Hang Wang
Let be a connected, real semisimple Lie group. Let be maximal compact, and let be discrete and such that has finite volume. If the real rank of …
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…
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…
Equivariant Callias index theory via coarse geometry
Hao Guo, Peter Hochs, Varghese Mathai
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We extend the definition of this index to general locally compact groups. We use a s…
Orbital integrals and -theory classes
Peter Hochs, Hang Wang
Let be a semisimple Lie group with discrete series. We use maps defined by orbital integrals to recover group theoretic information about , inclu…
An equivariant index for proper actions II: properties and applications
Peter Hochs, Yanli Song
In the first part of this series, we defined an equivariant index without assuming the group acting or the orbit space of the action to be compact. This allowed us to generalise an…
A fixed point theorem on noncompact manifolds
Peter Hochs, Hang Wang
We generalise the Atiyah-Segal-Singer fixed point theorem to noncompact manifolds. Using -theory, we extend the equivariant index to the noncompact setting, and obtain a fixed…
An equivariant index for proper actions I
Peter Hochs, Yanli Song
Equivariant indices have previously been defined in cases where either the group or the orbit space in question is compact. In this paper, we develop an equivariant index without a…