Work

Twisted Cyclic Cohomology and Modular Fredholm Modules

Year: 2013

Type: article

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 Podleś spheres and from SU q (2).

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2013.051

Author: Adam Rennie

Institution: University of Wollongong

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Australian Research Council, Division of Mathematical Sciences, FP7 Ideas: European Research Council

Award: Operator Algebras and Conformal Field Theory