Gabor duality theory for Morita equivalent C∗-algebras

DOI10.1142/S0129167X20500731zbMath1453.42025arXiv1905.01889OpenAlexW3026137738MaRDI QIDQ5130971

Are Austad, Mads Sielemann Jakobsen, Franz Luef

Publication date: 31 October 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01889

zbMATH Keywords

Gabor framesHilbert \(C^\ast\)-modulestwisted group \(C^\ast\)-algebras

Mathematics Subject Classification ID

(C^*)-modules (46L08) General harmonic expansions, frames (42C15) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (7)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ The density theorem for projective representations via twisted group von Neumann algebras ⋮ A duality principle for groups. II: Multi-frames meet super-frames ⋮ Modulation spaces as a smooth structure in noncommutative geometry ⋮ Spectral invariance of \(\ast\)-representations of twisted convolution algebras with applications in Gabor analysis ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences ⋮ Modular Riesz bases versus Riesz bases in Hilbert C∗-modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On various R-duals and the duality principle
• Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
• Projective modules over noncommutative tori are multi-window Gabor frames for modulation spaces
• Gabor (super)frames with Hermite functions
• Riesz and frame systems generated by unitary actions of discrete groups
• Density and duality theorems for regular Gabor frames
• C*-algebras associated with irrational rotations
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Duality and biorthogonality for Weyl-Heisenberg frames
• Gabor time-frequency lattices and the Wexler-Raz identity
• Foundations of time-frequency analysis
• On a (no longer) new Segal algebra: a review of the Feichtinger algebra
• On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace
• Characterizing R-duality in Banach spaces
• Heisenberg modules as function spaces
• On R-duals and the duality principle in Gabor analysis
• Spaces invariant under unitary representations of discrete groups
• Projections in noncommutative tori and Gabor frames
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• A SHORT PROOF THAT M_n(A) IS LOCAL IF A IS LOCAL AND FRÉCHET
• Wiener’s lemma for twisted convolution and Gabor frames
• An introduction to frames and Riesz bases
• Principles of harmonic analysis
• Duality for frames

This page was built for publication: Gabor duality theory for Morita equivalent C∗-algebras