Some model theory of SL(2,R)

Gismatullin, J, Penazzi, D orcid iconORCID: 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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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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