Twisted Spectral Triples and Connes' Character Formula
Operator Algebras
2011-07-01 v1 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1106.6127,
title = {Twisted Spectral Triples and Connes' Character Formula},
author = {Farzad Fathizadeh and Masoud Khalkhali},
journal= {arXiv preprint arXiv:1106.6127},
year = {2011}
}
Comments
To appear in the Fields Institute Communications Series, Volume #61 - Perspectives on Noncommutative Geometry