Higher Orbital Integrals, Cyclic Cocycles and Noncommutative Geometry

Let G be a linear real reductive Lie group. Orbital integrals define traces on the group algebra of G. We introduce a construction of higher orbital integrals in the direction of higher cyclic cocycles on the Harish-Chandra Schwartz algebra of G. We analyze these higher orbital integrals via Fourier...

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Bibliographic Details
Main Authors: Yanli Song, Xiang Tang
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424001154/type/journal_article
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