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Twisted cyclic cohomology and modular fredholm modules

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posted on 2024-11-15, 19:58 authored by Adam RennieAdam Rennie, Andrzej Sitarz, Makoto Yamashita
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 Podles sphereś and from SUq (2).

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Citation

Rennie, A., Sitarz, A. & Yamashita, M. (2013). Twisted cyclic cohomology and modular fredholm modules. Symmetry, Integrability and Geometry: Methods and Applications, 9 1-15.

Journal title

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume

9

Language

English

RIS ID

81080

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