@inproceedings{77b42ded8b764bcc8e52824d2a996691,
title = "Primary and secondary invariants of Dirac operators on G-proper manifolds",
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 G and their applications to higher index theory for proper cocompact G-actions.",
keywords = "Atiyah-Patodi-Singer higher index theory, delocalized cyclic cocycles, delocalized eta invariants, excision, higher delocalized eta invariants, higher orbital integrals, index classes, Lie groups, proper actions, relative pairing",
author = "Paolo Piazza and Xiang Tang",
note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.; Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 ; Conference date: 27-09-2021 Through 01-10-2021",
year = "2023",
doi = "10.1090/pspum/105/16",
language = "English",
isbn = "9781470469771",
series = "Proceedings of Symposia in Pure Mathematics",
publisher = "American Mathematical Society",
pages = "311--351",
editor = "Alain Connes and Alain Connes and Caterina Consani and Dundas, {Bj{\o}rn Ian} and Masoud Khalkhali and Henri Moscovici",
booktitle = "Cyclic Cohomology at 40",
}