Connected Lie groups and property RD

DOI10.1215/S0012-7094-07-13733-5zbMath1119.22006arXivmath/0409413OpenAlexW2015070811WikidataQ115240301 ScholiaQ115240301MaRDI QIDQ881926

L. Chatterji, Christophe Pittet, Laurent Saloff-Coste

Publication date: 18 May 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409413

zbMATH Keywords

property RDconnected Lie grouprapidly decaying function

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) General theory of (C^*)-algebras (46L05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Group algebras of locally compact groups (22D15)

Related Items

The 4-string braid group $B_4$ has property RD and exponential mesoscopic rank ⋮ On tempered representations ⋮ Semisimple Lie groups satisfy property RD, a short proof ⋮ Transition operators on co-compact \(G\)-spaces ⋮ Radial rapid decay does not imply rapid decay ⋮ Dimension of asymptotic cones of Lie groups ⋮ A geometric criterion for the boundedness of characteristic classes ⋮ Introduction to the Rapid Decay property ⋮ Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements ⋮ Property (RD) for algebraic \(p\)-adic groups. ⋮ Spectral invariant subalgebras of reduced groupoid \(C^*\)-algebras ⋮ Holomorphic functions of exponential type on connected complex Lie groups ⋮ Higher genera for proper actions of Lie groups ⋮ Harish-Chandra--Schwartz's algebras associated with discrete subgroups of Semisimple Lie groups ⋮ Radial rapid decay property for cocompact lattices ⋮ Rapid decay property for algebraic \(p\)-adic groups ⋮ Phase transitions for random walk asymptotics on free products of groups ⋮ Poincaré profiles of Lie groups and a coarse geometric dichotomy ⋮ Some spherical functions on hyperbolic groups ⋮ Quasi-regular representations and rapid decay

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