Untwisting twisted spectral triples-Reference-Cited by-同舟云学术

Untwisting twisted spectral triples

Published:2019-11-06 Issue:14 Volume:30 Page:1950076
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Goffeng Magnus¹,Mesland Bram²,Rennie Adam¹³^ORCID

Affiliation:

1. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg, Sweden

2. Mathematical Institute, Leiden University, Leiden, Netherlands

3. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, Australia

Abstract

We examine the index data associated to twisted spectral triples and higher order spectral triples. In particular, we show that a Lipschitz regular twisted spectral triple can always be “logarithmically dampened” through functional calculus, to obtain an ordinary (i.e. untwisted) spectral triple. The same procedure turns higher order spectral triples into spectral triples. We provide examples of highly regular twisted spectral triples with nontrivial index data for which Moscovici’s ansatz for a twisted local index formula is identically zero.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X19500769

Reference45 articles.

1. Purely infinite $C^*$-algebras arising from dynamical systems

2. Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras

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