Twisted cyclic cohomology and modular fredholm modules

Authors

Adam Rennie, University of WollongongFollow
Andrzej Sitarz, Jagiellonian University Cracow
Makoto Yamashita, Ochanomizu University

RIS ID

81080

Publication Details

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

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 Podles sphereś and from SUq (2).