• Coaction functors 

      Kaliszewski, Steve; Landstad, Magnus B.; Quigg, John (Journal article; Peer reviewed, 2016)
      A certain type of functor on a category of coactions of a locally compact group on C ∗ C∗-algebras is introduced and studied. These functors are intended to help in the study of the crossed-product functors that have ...
    • Coaction functors, II 

      Kaliszewski, S; Landstad, Magnus Brostrup; Quigg, John (Journal article; Peer reviewed, 2018)
      In their study of the application of crossed-product functors to the Baum–Connes conjecture, Buss, Echterhoff, and Willett introduced various properties that crossed-product functors may have. Here we introduce and study ...
    • Exact large ideals of B(G) are downward directed. 

      Kaliszewski, Steve; Landstad, Magnus B.; Quigg, John (Journal article; Peer reviewed, 2016)
      We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E∩F. We also give an example of a coaction functor whose restriction to the maximal coactions ...
    • Exotic Coactions 

      Landstad, Magnus B.; Kaliszewski, Steve; Quigg, John (Journal article; Peer reviewed, 2016)
      If a locally compact group G acts on a C *-algebra B, we have both full and reduced crossed products and each has a coaction of G. We investigate ‘exotic’ coactions in between the two, which are determined by certain ideals ...
    • Ordered invariant ideals of Fourier-Stieltjes algebras 

      Landstad, Magnus Brostrup; Kaliszewski, Steve; Quigg, John (Journal article; Peer reviewed, 2018)
      For a locally compact group G, every G-invariant subspace E of the Fourier-Stieltjes algebra B(G) gives rise to the following two ideals of the group C ∗ -algebra C ∗ (G): the intersection of the kernels of the representations ...
    • Properness conditions for actions and coactions 

      Landstad, Magnus B.; Kaliszewski, Steve; Quigg, John (Journal article; Peer reviewed, 2016)
      Three properness conditions for actions of locally compact groups on C⇤-algebras are studied, as well as their dual analogues for coactions. To motivate the properness conditions for actions, the commutative cases (actions ...