Spectral invariance of smooth crossed products, and rapid decay locally compact groups

DOI10.1007/BF00538186zbMath0854.46052MaRDI QIDQ1916025

Larry B. Schweitzer, Ronghui Ji

Publication date: 28 August 1996

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

crossed product \(C^*\)-algebraunimodularreduced group \(C^*\)-algebra\(K\)-theoriesrapid-decay functionsrapid-decay locally compact groupsspectral invariant Fréchet \(*\)-subalgebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55)

Related Items

Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Connected Lie groups and property RD ⋮ Exotic \(\mathrm{C}^*\)-algebras of geometric groups ⋮ Introduction to the Rapid Decay property ⋮ Tracing cyclic homology pairings under twisting of graded algebras ⋮ Property (RD) for algebraic \(p\)-adic groups. ⋮ Fourier series and twisted \(C^*\)-crossed products ⋮ Spectral invariant subalgebras of reduced groupoid \(C^*\)-algebras ⋮ Higher genera for proper actions of Lie groups ⋮ On twisted Fourier analysis and convergence of Fourier series on discrete groups ⋮ Index of nonlocal elliptic operators over \(C^*\)-algebras ⋮ Radial rapid decay property for cocompact lattices ⋮ Rapid decay property for algebraic \(p\)-adic groups ⋮ Spectral invariant subalgebras of reduced crossed product \(C^*\)-algebras

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