Crossed product extensions of spectral triples

  • Bruno Iochum

    Aix-Marseille Université, France
  • Thierry Masson

    Aix-Marseille Université, France

Abstract

Given a spectral triple and a -dynamical system where is dense in and is a locally compact group, we extend the triple to a triplet on the crossed product which can be promoted to a modular-type twisted spectral triple within a general procedure exemplified by two cases: the -algebra of the affine group and the conformal group acting on a complete Riemannian spin manifold.

Cite this article

Bruno Iochum, Thierry Masson, Crossed product extensions of spectral triples. J. Noncommut. Geom. 10 (2016), no. 1, pp. 65–133

DOI 10.4171/JNCG/229