Twisted Spectral Triples and Connes' Character Formula
  We give a proof of an analogue of Connes' Hochschild character theorem for twisted spectral triples obtained from twisting a spectral triple by scaling automorphisms, under some suitable conditions. We also survey some of the properties of twisted spectral triples that are known so far. 
Farzad Fathizadeh, Masoud Khalkhali
math.OA math.KT