Some model theory of SL(2,ℝ)

Jakub Gismatullin, Davide Penazzi, and Anand Pillay. "Some model theory of SL(2,ℝ)." Fundamenta Mathematicae 229.2 (2015): 117-128. <http://eudml.org/doc/283255>.

@article{JakubGismatullin2015,
abstract = {We study the action of G = SL(2,ℝ), viewed as a group definable in the structure M = (ℝ,+,×), on its type space $S_\{G\}(M)$. We identify a minimal closed G-flow I and an idempotent r ∈ I (with respect to the Ellis semigroup structure * on $S_\{G\}(M)$). We also show that the “Ellis group” (r*I,*) is nontrivial, in fact it is the group with two elements, yielding a negative answer to a question of Newelski.},
author = {Jakub Gismatullin, Davide Penazzi, Anand Pillay},
journal = {Fundamenta Mathematicae},
keywords = {Ellis semigroup; model-theoretic topological dynamics},
language = {eng},
number = {2},
pages = {117-128},
title = {Some model theory of SL(2,ℝ)},
url = {http://eudml.org/doc/283255},
volume = {229},
year = {2015},
}

TY - JOUR
AU - Jakub Gismatullin
AU - Davide Penazzi
AU - Anand Pillay
TI - Some model theory of SL(2,ℝ)
JO - Fundamenta Mathematicae
PY - 2015
VL - 229
IS - 2
SP - 117
EP - 128
AB - We study the action of G = SL(2,ℝ), viewed as a group definable in the structure M = (ℝ,+,×), on its type space $S_{G}(M)$. We identify a minimal closed G-flow I and an idempotent r ∈ I (with respect to the Ellis semigroup structure * on $S_{G}(M)$). We also show that the “Ellis group” (r*I,*) is nontrivial, in fact it is the group with two elements, yielding a negative answer to a question of Newelski.
LA - eng
KW - Ellis semigroup; model-theoretic topological dynamics
UR - http://eudml.org/doc/283255
ER -