Twisted Cyclic Cohomology and Modular Fredholm Modules

Symmetry Integrability and Geometry-Methods and Applications

article

Adam Rennie¹  Andrzej Sitarz²  Makoto Yamashita⁴ 

[1] School of Mathematics and Applied Statistics, University of Wollongong;Institute of Mathematics of the Polish Academy of Sciences;Institute of Physics, Jagiellonian University;Department of Mathematics, Ochanomizu University

关键词: twisted cyclic cohomology;    spectral triple;    modular theory;    KMS weight;   

DOI  :  10.3842/SIGMA.2013.051

来源: National Academy of Science of Ukraine

【 摘 要 】

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 SU q (2).

【 授权许可】

Unknown