English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Untwisting twisted spectral triples

MPS-Authors
/persons/resource/persons235809

Mesland,  Bram
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1903.02463.pdf
(Preprint), 557KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Goffeng, M., Mesland, B., & Rennie, A. (2019). Untwisting twisted spectral triples. International journal of mathematics, 30(14): 1950076. doi:10.1142/S0129167X19500769.


Cite as: https://hdl.handle.net/21.11116/0000-0005-9E24-1
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.