The density theorem for projective representations via twisted group von Neumann algebras

DOI10.1016/j.jmaa.2022.126072zbMath1494.46056arXiv2103.14467OpenAlexW3149146189WikidataQ115188921 ScholiaQ115188921MaRDI QIDQ2668933

Ulrik B. R. Enstad

Publication date: 9 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14467

zbMATH Keywords

projective representationdensity theoremGabor framecenter-valued tracetwisted group von Neumann algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General harmonic expansions, frames (42C15)

Related Items (3)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ On sufficient density conditions for lattice orbits of relative discrete series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time-frequency analysis on the adeles over the rationals
• On twisted Fourier analysis and convergence of Fourier series on discrete groups
• Gabor (super)frames with Hermite functions
• Density and duality theorems for regular Gabor frames
• The structure of some induced representations
• Primitive ideals in enveloping algebras
• A geometric construction of the discrete series for semisimple Lie groups
• Foundations of time-frequency analysis
• On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace
• Abstract harmonic analysis of continuous wavelet transforms
• Square integrable representations, von Neumann algebras and an application to Gabor analysis
• Incompleteness of sparse coherent states
• Duality of Gabor frames and Heisenberg modules
• A duality principle for groups. II: Multi-frames meet super-frames
• History and evolution of the density theorem for Gabor frames
• Affine density in wavelet analysis
• Multipliers on Abelian groups
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• Induced representation of locally compact groups. I
• A note on the density theorem for projective unitary representations
• Transforms associated to square integrable group representations. I. General results
• Painless nonorthogonal expansions
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• The Γ-equivariant form of the Berezin quantization of the upper half plane
• The wavelet transform, time-frequency localization and signal analysis
• Frames, bases and group representations
• Density of sampling and interpolation in reproducing kernel Hilbert spaces
• Twisted group $C^*$-algebras corresponding to nilpotent discrete groups.
• Processing a radar signal and representations of the discrete Heisenberg group
• Gabor duality theory for Morita equivalent C∗-algebras
• Primeness and Primitivity Conditions for Twisted Group $C^*$-Algebras
• Theory of operator algebras I.
• Lattice tiling and the Weyl-Heisenberg frames

This page was built for publication: The density theorem for projective representations via twisted group von Neumann algebras