A. Austad

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20182021

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math.FA2021

Groupoids and Hermitian Banach *-algebras

Are Austad, Eduard Ortega

We study when the twisted groupoid Banach $*$ -algebra $L^{1} (G, σ)$ is Hermitian. In particular, we prove that Hermitian groupoids satisfy the weak containment property. Fur…

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…

Groupoids and Hermitian Banach *-algebras

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

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