• Going relative with Maurice—a survey 

      Solberg, Øyvind (Journal article, 2018)
    • Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory 

      Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Peer reviewed; Journal article, 2019)
      We introduce a notion of total acyclicity associated to a subcategory of an abelian category and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius category, whose induced stable category ...
    • Homotopy coherent centers versus centers of homotopy categories 

      Szymik, Markus (Journal article, 2018)
      Centers of categories capture the natural operations on their objects. Homotopy coherent centers are introduced here as an extension of this notion to categories with an associated homotopy theory. These centers can also ...
    • 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 ...
    • Reducibility of parameter ideals in low powers of the maximal ideal 

      Shultis, Katharine; Thompson, Peder (Peer reviewed; Journal article, 2021)
      A commutative noetherian local ring (R, m) is Gorenstein if and only if every parameter ideal of R is irreducible. Although irreducible parameter ideals may exist in non-Gorenstein rings, Marley, Rogers, and Sakurai show ...
    • String bordism and chromatic characteristics 

      Szymik, Markus (Journal article; Peer reviewed, 2018)
      We introduce characteristics into chromatic homotopy theory. This parallels the prime characteristics in number theory as well as in our earlier work on structured ring spectra and unoriented bordism theory. Here, the ...