Quantum isometry group for spectral triples with real structure

Goswami, Debashish (2010) Quantum isometry group for spectral triples with real structure Symmetry, Integrability and Geometry: Methods and Applications . Article ID 007-7 pages. ISSN 1815-0659

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Official URL: http://www.emis.de/journals/SIGMA/2010/007/

Related URL: http://dx.doi.org/10.3842/SIGMA.2010.007

Abstract

Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from quantum group theory) and references therein, we prove that there is always a universal object in the category of compact quantum group acting by orientation preserving isometries (in the sense of [Bhowmick J., Goswami D., J. Funct. Anal. 257 (2009), 2530-2572]) and also preserving the real structure of the spectral triple. This gives a natural definition of quantum isometry group in the context of real spectral triples without fixing a choice of 'volume form' as in [Bhowmick J., Goswami D., J. Funct. Anal. 257 (2009), 2530-2572].

Item Type:Article
Source:Copyright of this article belongs to The European Mathematical Information Service.
Keywords:Quantum Isometry Groups; Spectral Triples; Real Structures
ID Code:102218
Deposited On:01 Feb 2018 04:36
Last Modified:01 Feb 2018 04:36

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