Twisted Spectral Triples and Connes' Character Formula

Details Twisted Spectral Triples and Connes' Character Formula Twisted Spectral Triples and Connes' Character Formula

2011-06-30

arxiv.org/abs/1106.6127v1

Mathematics

Operator Algebras

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

Scientific paper

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.

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