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arXiv · 1201.4934

Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups

T. Mubeena·P. Sankaran
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Abstract

Given a group automorphism $ϕ:Γ\to Γ$, one has an action of $Γ$ on itself by $ϕ$-twisted conjugacy, namely, $g.x=gxϕ(g^{-1})$. The orbits of this action are called $ϕ$-conjugacy classes. One says that $Γ$ has the $R_\infty$-property if there are infinitely many $ϕ$-conjugacy classes for every automorphism $ϕ$ of $Γ$. In this paper we show that any irreducible lattice in a connected semi simple Lie group having finite centre and rank at least 2 has the $R_\infty$-property.

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BibTeXRIS

T. Mubeena, P. Sankaran. 2012-02-04. Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups. https://doi.org/10.1007/s00031-014-9249-x

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