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