Twisted cyclic cohomology and modular Fredholm modules

Details Twisted cyclic cohomology and modular Fredholm modules Twisted cyclic cohomology and modular Fredholm modules

2011-11-28

arxiv.org/abs/1111.6328v1

Mathematics

K-Theory and Homology

16 pages

Scientific paper

Connes and Cuntz showed 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
Podle\'s spheres and from SU_q(2).

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