Phase transition in the Connes-Marcolli GL2-system

Details Phase transition in the Connes-Marcolli GL2-system Phase transition in the Connes-Marcolli GL2-system

2006-09-11

arxiv.org/abs/math/0609315v2

Mathematics

Operator Algebras

23 pages; minor corrections, final version

Scientific paper

We develop a general framework for analyzing KMS-states on C*-algebras
arising from actions of Hecke pairs. We then specialize to the system recently
introduced by Connes and Marcolli and classify its KMS-states for inverse
temperatures \beta\ne 0,1. In particular, we show that for each \beta\in(1,2]
there exists a unique KMS_\beta-state.

Affiliated with

Also associated with

No associations

Rating

Phase transition in the Connes-Marcolli GL2-system 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 Phase transition in the Connes-Marcolli GL2-system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transition in the Connes-Marcolli GL2-system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692000