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Gismatullin, J, Penazzi, D 
ORCID: 0000-0002-9732-1577 and Pilay, A
(2015)
Some model theory of SL(2,R).
Fundamenta Mathematicae, 229
.
pp. 117-128.
ISSN 0016-2736
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Official URL: https://doi.org/10.4064/fm229-2-2
Abstract
We study the action of G = SL(2,R), viewed as a group definable in thestructureM= (R,+,×), on its type spaceSG(M). We identify a minimal closedG-flowI, and an idempotentr∈I(with respect to the Ellis semigroup structure∗onSG(M)). We also show that the “ideal group” (r∗I,∗) is nontrivial (in fact it will be the group with 2 elements), yielding a negative answer to a question of
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