Twisted Cyclic Cohomology and Modular Fredholm Modules

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 pr...

Full description

Saved in:

Bibliographic Details
Published in:	Symmetry, integrability and geometry, methods and applications Vol. 9; p. 051
Main Author:	Rennie, Adam
Format:	Journal Article
Language:	English
Published:	Kiev National Academy of Sciences of Ukraine 01-01-2013 National Academy of Science of Ukraine
Subjects:	KMS weight modular theory spectral triple twisted cyclic cohomology
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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 spheres and from SUq(2). [ProQuest: [...] denotes formulae omitted.]
ISSN:	1815-0659 1815-0659
DOI:	10.3842/SIGMA.2013.051