Browsing by Subject "Groupoid"

Now showing items 1-2 of 2

    • Getzler rescaling via adiabatic deformation and a renormalized local index formula 

      [OWP-2016-18] Bohlen, Karsten; Schrohe, Elmar (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
      We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ...

    • 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 ...