Twisted reality condition for Dirac operators
  Motivated by examples obtained from conformal deformations of spectral triples and a spectral triple construction on quantum cones we propose a new twisted reality condition for the Dirac operator. 
Tomasz Brzezi\'nski, Nicola Ciccoli, Ludwik D\k{a}browski, Andrzej   Sitarz
math.QA hep-th math-ph math.MP