Browsing 1 - Oberwolfach Preprints (OWP) by MSC "19"

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Abstract Bivariant Cuntz Semigroups

[OWP-2017-04] Antoine, Ramon; Perera, Francesc; Thiel, Hannes (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-13)

We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups $S$ and $T$ , there is another Cuntz semigroup $((S,T))$ playing the role of morphisms from $S$ to $T$ . Applied ...
Ghost Algebras of Double Burnside Algebras via Schur Functors

[OWP-2012-09] Boltje, Robert; Danz, Susanne (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)

For a finite group $G$ , we introduce a multiplication on the $\mathbb{Q}$ -vector space with basis $\mathscr{S}_{G\times G}$ , the set of subgroups of ${G \times G}$ . The resulting $\mathbb{Q}$ -algebra $\tilde{A}$ can be ...
Homology and $K$ -Theory of Torsion-Free Ample Groupoids and Smale Spaces

[OWP-2020-20] Proietti, Valerio; Yamashita, Makoto (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-09)

Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the $K$ -groups of the groupoid C*-algebra when the groupoid has torsion-free ...