@article{AzzaliGoetteSchick2015,
  author    = {Azzali, Sara and Goette, Sebastian and Schick, Thomas},
  title     = {Large time limit and local L-2-index theorems for families},
  series = {Journal of noncommutative geometry},
  volume    = {9},
  journal   = {Journal of noncommutative geometry},
  number    = {2},
  publisher = {EMS Publ.},
  address   = {Z{\"u}rich},
  issn      = {1661-6952},
  doi       = {10.4171/JNCG/203},
  pages     = {621 -- 664},
  year      = {2015},
  abstract  = {We compute explicitly, and without any extra regularity assumptions, the large time limit of the fibrewise heat operator for Bismut-Lott type superconnections in the L-2-setting. This is motivated by index theory on certain non-compact spaces (families of manifolds with cocompact group action) where the convergence of the heat operator at large time implies refined L-2-index formulas. As applications, we prove a local L-2-index theorem for families of signature operators and an L-2-Bismut-Lott theorem, expressing the Becker-Gottlieb transfer of flat bundles in terms of Kamber-Tondeur classes. With slightly stronger regularity we obtain the respective refined versions: we construct L-2-eta forms and L-2-torsion forms as transgression forms.},
  language  = {en}
}