$κ$-Deformation and Spectral Triples

Details $κ$-Deformation and Spectral Triples $κ$-Deformation and Spectral Triples

2011-07-18

arxiv.org/abs/1107.3449v1

Acta Phys.Polon.Supp.4:305,2011

Physics

Mathematical Physics

Talk presented by B. Iochum at the conference "Geometry and Physics in Cracow", September 21-25, 2010

Scientific paper

10.5506/APhysPolBSupp.4.305

The aim of the paper is to answer the following question: does $\kappa$-deformation fit into the framework of noncommutative geometry in the sense of spectral triples? Using a compactification of time, we get a discrete version of $\kappa$-Minkowski deformation via $C^*$-algebras of groups. The dynamical system of the underlying groups (including some Baumslag--Solitar groups) is used in order to construct \emph{finitely summable} spectral triples. This allows to bypass an obstruction to finite-summability appearing when using the common regular representation.

Affiliated with

Also associated with

No associations

Rating

$κ$-Deformation and Spectral Triples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $κ$-Deformation and Spectral Triples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $κ$-Deformation and Spectral Triples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271669