Some model theory of SL(2,R)

2012/08/01 by Gismatullin, Jakub, Penazzi, Davide, Pillay, Anand
#03C45 #22E46 #37B05 #Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.1208.0196

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.

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