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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 051, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.051 (Mi sigma834) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Twisted Cyclic Cohomology and Modular Fredholm Modules

Adam Renniea, Andrzej Sitarzbc, Makoto Yamashitad

a School of Mathematics and Applied Statistics, University of Wollongong, Wollongong NSW 2522, Australia
b Institute of Mathematics of the Polish Academy of Sciences, ul. Sniadeckich 8, Warszawa, 00-950 Poland
c Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland
d Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Tokyo, Japan
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DOI: https://doi.org/10.3842/SIGMA.2013.051
Abstract: Connes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515–526] that suitable cyclic cocycles can be represented as Chern characters of finitely summable semifinite Fredholm modules. We show an analogous result in twisted cyclic cohomology using Chern characters of modular Fredholm modules. We present examples of modular Fredholm modules arising from Podleś spheres and from ${\rm SU}_q(2)$.
Keywords: twisted cyclic cohomology; spectral triple; modular theory; KMS weight.
Received: January 24, 2013; in final form July 22, 2013; Published online July 30, 2013
Bibliographic databases:
Document Type: Article
MSC: 58J42; 58B32; 46L87
Language: English
Citation: Adam Rennie, Andrzej Sitarz, Makoto Yamashita, “Twisted Cyclic Cohomology and Modular Fredholm Modules”, SIGMA, 9 (2013), 051, 15 pp.
Citation in format AMSBIB
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\paper Twisted Cyclic Cohomology and Modular Fredholm Modules
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