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On twisted reality conditions

Tomasz Brzeziński, Ludwik Dąbrowski, Andrzej Sitarz, Tomasz Brzezinski Orcid Logo

Letters in Mathematical Physics, Volume: 109, Pages: 643 - 659

Swansea University Author: Tomasz Brzezinski Orcid Logo

Abstract

We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant.Motivated by this we present the procedure, which allows one to untwist the twisted spectraltriples studied in Lett. Math. Phy...

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Published in: Letters in Mathematical Physics
ISSN: 0377-9017 1573-0530
Published: Springer 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa41070
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Abstract: We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant.Motivated by this we present the procedure, which allows one to untwist the twisted spectraltriples studied in Lett. Math. Phys. 106 (2016), 1499–1530. We also relate this construction toconformally rescaled real twisted spectral triples, and discuss the untwisting of the ‘minimaltwist’ procedure of an even spectral triple.
Item Description: This is a post-peer-review, pre-copyedit version of an article published in Letters in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s11005-018-1120-x
College: Faculty of Science and Engineering
Start Page: 643
End Page: 659