Primary and secondary invariants of Dirac operators on $G$-proper manifolds
K-Theory and Homology
2023-09-07 v2 Differential Geometry
Operator Algebras
Abstract
In this article, we survey the recent constructions of cyclic cocycles on the Harish-Chandra Schwartz algebra of a connected real reductive Lie group and their applications to higher index theory for proper cocompact -actions.
Keywords
Cite
@article{arxiv.2204.01498,
title = {Primary and secondary invariants of Dirac operators on $G$-proper manifolds},
author = {Paolo Piazza and Xiang Tang},
journal= {arXiv preprint arXiv:2204.01498},
year = {2023}
}
Comments
41 pages. In this new arXiv version we correct a mistake in the printed version by avoiding a wrong decomposition formula for the Dirac operator. A detailed discussion can be found in arXiv:2108.00982(v3)