Blar i NTNU Open på forfatter "Austad, Are"

Viser treff 1-7 av 7

    • C∗-uniqueness Results for Groupoids 

      Ortega Esparza, Eduardo; Austad, Are (Peer reviewed; Journal article, 2020)
      For a 2nd-countable locally compact Hausdorff étale groupoid G with a continuous 2-cocycle σ we find conditions that guarantee that ℓ1(G,σ) has a unique C∗-norm.

    • Gabor duality theory for Morita equivalent C*-algebras 

      Austad, Are; Jakobsen, Mads Sielemann; Luef, Franz (Journal article; Peer reviewed, 2020)
      The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalence bimodules with some extra properties. For certain twisted group C∗-algebras, ...

    • Groupoids and Hermitian Banach *-algebras 

      Ortega Esparza, Eduardo; Austad, Are (Peer reviewed; Journal article, 2022)
      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. Furthermore, we find that for L 1 (G, σ) to be Hermitian ...

    • Heisenberg modules as function spaces 

      Enstad, Ulrik Bo Rufus; Austad, Are (Peer reviewed; Journal article, 2020)
      Let \Delta be a closed, cocompact subgroup of G \times \widehat{G}, where G is a second countable, locally compact abelian group. Using localization of Hilbert C^*-modules, we show that the Heisenberg module \mathcal ...

    • Modulation spaces as a smooth structure in noncommutative geometry 

      Austad, Are; Luef, Franz (Peer reviewed; Journal article, 2021)
      We demonstrate how to construct spectral triples for twisted group C^*-algebras of lattices in phase space of a second-countable locally compact abelian group using a class of weights appearing in time–frequency analysis. ...

    • The Algebraic Bivariant Connes-Chern Character 

      Austad, Are (Master thesis, 2017)
      In this thesis we present many properties of bivariant periodic cyclic homology with the purpose of then constructing two bivariant Connes-Chern characters from algebraic versions of Kasparov's KK-theory with values in ...

    • Twisted Convolution Algebras and Applications to Gabor Analysis 

      Austad, Are (Doctoral theses at NTNU;2021:155, Doctoral thesis, 2021)
      This thesis concerns several aspects of twisted convolution algebras, with a particular focus on problems arising in Gabor analysis. A significant portion of the thesis is dedicated to the study of Hilbert C -modules known ...