Some model theory of SL(2,R)
Logic
2012-08-02 v1 Dynamical Systems
General Topology
Group Theory
Abstract
We study the action of G = SL(2,R) on its type space S_G(R) where R denotes the field of real numbers. We identify a minimal closed G-flow I, and an idempotent r of I (with the respect to the Ellis semigroup structure * on I). We show that the group (r*I,*) has 2 elements, yielding a negative answer to a question of Newelski.
Cite
@article{arxiv.1208.0196,
title = {Some model theory of SL(2,R)},
author = {Jakub Gismatullin and Davide Penazzi and Anand Pillay},
journal= {arXiv preprint arXiv:1208.0196},
year = {2012}
}
Comments
10 pages