Twisted Cyclic Cohomology and Modular Fredholm Modules

arxiv: 1111.6328 · v4 · pith:3OGENU7Wnew · submitted 2011-11-28 · 🧮 math.KT · math.QA

Twisted Cyclic Cohomology and Modular Fredholm Modules

Adam Rennie , Andrzej Sitarz , Makoto Yamashita This is my paper

classification 🧮 math.KT math.QA

keywords fredholmmodulescyclicmodularcharacterscherncohomologytwisted

0 comments p. Extension

pith:3OGENU7W Add to your LaTeX paper

What is a Pith Number?

\usepackage{pith}
\pithnumber{3OGENU7W}

Prints a linked pith:3OGENU7W badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more

read the original 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 Podle\'s spheres and from $SU_q(2)$.

This paper has not been read by Pith yet.

Twisted Cyclic Cohomology and Modular Fredholm Modules

discussion (0)