Twisted Spectral Triples and Connes' Character Formula
Farzad Fathizadeh, Masoud Khalkhali
TL;DR
This paper proves an analogue of Connes' Hochschild character theorem for twisted spectral triples created via scaling automorphisms and reviews known properties of these triples.
Contribution
It provides a proof of the Hochschild character theorem analogue for twisted spectral triples and surveys their properties.
Findings
Established an analogue of Connes' Hochschild character theorem for twisted spectral triples.
Surveyed properties of twisted spectral triples.
Extended understanding of spectral triples under automorphism twisting.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Geometric and Algebraic Topology