A. Austad

activity

20182020

collaborators

4 papers

math.OA2020

$C^{*}$ -uniqueness Results for Groupoids

Are Austad, Eduard Ortega

For a second-countable locally compact Hausdorff étale groupoid $G$ with a continuous $2$ -cocycle $σ$ we find conditions that guarantee that $ℓ^{1} (G, σ)$ has…

math.FA2020

Spectral invariance of $*$ -representations of twisted convolution algebras with applications in Gabor analysis

Are Austad

We show spectral invariance for faithful $*$ -representations for a class of twisted convolution algebras. More precisely, if $G$ is a locally compact group with a continuous $2$ -co…

math.OA2019

Gabor Duality Theory for Morita Equivalent $C^{*}$ -algebras

Are Austad, Mads S. Jakobsen, Franz Luef

The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalent $C^{*}$ -algebras where the equivalence…

math.OA2018

Modulation Spaces as a Smooth Structure in Noncommutative Geometry

Are Austad, Franz Luef

We demonstrate that a class of modulation spaces are examples of a smooth structure on the noncommutative 2-torus in the sense of recent developments in KK-theory. In addition, we…

C∗-uniqueness Results for Groupoids

Spectral invariance of ∗-representations of twisted convolution algebras with applications in Gabor analysis

Gabor Duality Theory for Morita Equivalent C∗-algebras

Modulation Spaces as a Smooth Structure in Noncommutative Geometry

$C^{*}$ -uniqueness Results for Groupoids

Spectral invariance of $*$ -representations of twisted convolution algebras with applications in Gabor analysis

Gabor Duality Theory for Morita Equivalent $C^{*}$ -algebras