Twisted conjugacy and quasi-isometric rigidity of irreducible lattices in semisimple lie groups

T. Mubeena () and P. Sankaran ()
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T. Mubeena: Government College Kasaragod
P. Sankaran: The Institute of Mathematical Sciences, (HBNI), CIT Campus

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 2, 403-412

Abstract: Abstract Let G be a non-compact semisimple Lie group with finite centre and finitely many connected components. We show that any finitely generated group Γ which is quasi-isometric to an irreducible lattice in G has the R∞-property, namely, that there are infinitely many ϕ-twisted conjugacy classes for every automorphism ϕ of Γ. Also, we show that any lattice in G has the R∞-property, extending our earlier result for irreducible lattices.

Keywords: Twisted conjugacy; lattices in semisimple Lie groups; quasi-isometry (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0334-7

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