Untwisting twisted spectral triples
(2019) In International Journal of Mathematics 30(14).- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/55d87666-c5d4-406c-85db-cc3419a33b6c
- author
- Goffeng, Carl Henrik Tryggve Magnus LU ; Mesland, Bram and Rennie, Adam
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- twisted spectral triples, local index theory;, KK-theory, noncommutativegeometry
- in
- International Journal of Mathematics
- volume
- 30
- issue
- 14
- article number
- 1950076
- publisher
- World Scientific Publishing
- external identifiers
-
- scopus:85074586452
- ISSN
- 0129-167X
- DOI
- 10.1142/S0129167X19500769
- language
- English
- LU publication?
- no
- id
- 55d87666-c5d4-406c-85db-cc3419a33b6c
- date added to LUP
- 2021-03-12 12:00:02
- date last changed
- 2022-04-27 00:48:34
@article{55d87666-c5d4-406c-85db-cc3419a33b6c, 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.}}, author = {{Goffeng, Carl Henrik Tryggve Magnus and Mesland, Bram and Rennie, Adam}}, issn = {{0129-167X}}, keywords = {{twisted spectral triples; local index theory;; KK-theory; noncommutativegeometry}}, language = {{eng}}, number = {{14}}, publisher = {{World Scientific Publishing}}, series = {{International Journal of Mathematics}}, title = {{Untwisting twisted spectral triples}}, url = {{http://dx.doi.org/10.1142/S0129167X19500769}}, doi = {{10.1142/S0129167X19500769}}, volume = {{30}}, year = {{2019}}, }