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

T. Mubeena; P. Sankaran

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arXiv · 1801.02105

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

T. Mubeena·P. Sankaran

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Abstract

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

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BibTeX RIS

T. Mubeena, P. Sankaran. 2018-01-07. Twisted conjugacy and quasi-isometric rigidity of irreducible lattices in semisimple Lie groups. https://arxiv.org/abs/1801.02105

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