2012/01/31 by T. Mubeena, T. MUBEENA, P. Sankaran +1
Mathematics · #Advanced Operator Algebra Research #Automorphism #Automorphism group #Conjugacy class #Geometric and Algebraic Topology #Group of Lie type #Homotopy and Cohomology in Algebraic Topology #Inner automorphism #Lie group #Outer automorphism group #Real form #Simple Lie group #math.GR #math.GT
paper · pdf · doi:10.1007/s00031-014-9249-x
published as Transformation Groups, 2014 · 6 pages
arxiv created 2012/02/04 · openalex publication_date 2014/02/17 · openalex created_date 2017/03/16 · arxiv updated 2018/01/10 · openalex updated_date 2026/08/05
Given a group automorphism ϕ:Γ→ 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_∞-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_∞-property.