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.

Primary and secondary invariants of Dirac operators on G-proper manifolds / Piazza, Paolo; Tang, Xiang. - (2023), pp. 311-351. - PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS. [10.1090/pspum/105/16].

Primary and secondary invariants of Dirac operators on G-proper manifolds

Piazza, Paolo
;
2023

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.
2023
Cyclic Cohomology at 40: Achievements and Future Prospects
9781470472634
9781470469771
Lie groups; proper actions; higher orbital integrals; delocalized cyclic cocycles; index classes; relative pairing; excision; Atiyah-Patodi-Singer higher index theory; delocalized eta invariants; higher delocalized eta invariants
02 Pubblicazione su volume::02a Capitolo o Articolo
Primary and secondary invariants of Dirac operators on G-proper manifolds / Piazza, Paolo; Tang, Xiang. - (2023), pp. 311-351. - PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS. [10.1090/pspum/105/16].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1705842
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