Twisted Spectral Triples and Connes' Character Formula

2011/06/30 by Farzad Fathizadeh, Fathizadeh, Farzad, Masoud Khalkhali +1
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.KT #math.OA

paper · pdf · doi:10.48550/arxiv.1106.6127

To appear in the Fields Institute Communications Series, Volume #61 - Perspectives on Noncommutative Geometry

arxiv created 2011/06/30 · arxiv updated 2011/07/01

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.

Related

• The Hochschild Class of the Chern Character For Semifinite Spectral Triples
• Type III and spectral triples
• The Connes character formula for locally compact spectral triples
• The non-unital version of Connes' theorem on the Hochschild class of the Chern character
• Signature change by a morphism of spectral triples