Twisted cyclic cohomology and modular Fredholm modules
- Rennie, Adam
- Sitarz, Andrzej
- Yamashita, Makoto
Publication date
January 2013
DOI Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application) Journal
Symmetry Integrability and Geometry Methods and ApplicationsAbstract
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)
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