A fixed point formula and Harish‐Chandra's character formula

DOI10.1112/plms.12066zbMath1391.58008arXiv1701.08479OpenAlexW2585553959MaRDI QIDQ4603015

Hang Wang, Peter Hochs

Publication date: 8 February 2018

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08479

zbMATH Keywords

heat kernelsemisimpleanalytic assembly mapcoarse indexAtiyah-Segal-Singer fixed-point formulag-traceHarish-Chandra character formula

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Semisimple Lie groups and their representations (22E46) Index theory and related fixed-point theorems on manifolds (58J20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Index theory (19K56)

Related Items (10)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ An index theorem for higher orbital integrals ⋮ An equivariant Atiyah-Patodi-Singer index theorem for proper actions. II: The \(K\)-theoretic index ⋮ An equivariant orbifold index for proper actions ⋮ A geometric realisation of tempered representations restricted to maximal compact subgroups ⋮ Positive scalar curvature and an equivariant Callias-type index theorem for proper actions ⋮ A fixed point theorem on noncompact manifolds ⋮ Higher genera for proper actions of Lie groups ⋮ Orbital integrals and \(K\)-theory classes ⋮ Higher localised \(\hat{A}\)-genera for proper actions and applications

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