Browsing 1 - Oberwolfach Preprints (OWP) by MSC "19"
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Abstract Bivariant Cuntz Semigroups
[OWP-2017-04] (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] (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] (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 ...