Corpus ID: 235755321

Proper proximality for groups acting on trees

  title={Proper proximality for groups acting on trees},
  author={Changying Ding and Srivatsav Kunnawalkam Elayavalli},
In this paper, the notion of proper proximality (introduced in [BIP18]) is studied for various families of groups that act on trees. We show that if a group acts nonelementarily by isometries on a tree such that for any two edges, the intersection of their edge stabilizers is finite, then G is properly proximal. We then provide a complete classification result for proper proximality among graph products of non-trivial groups, generalizing recent work of Duchesne, Tucker-Drob and Wesolek… Expand


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  • E. Reckwerdt
  • Computer Science, Mathematics
  • J. Lond. Math. Soc.
  • 2017
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  • B. Bowditch
  • Computer Science, Mathematics
  • Int. J. Algebra Comput.
  • 2012
This paper defines the boundary of a relatively hyperbolic group, and shows that the limit set of any geometrically finite action of the group is equivariantly homeomorphic to this boundary, and generalizes a result of Tukia for geometRically finite kleinian groups. Expand
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This is a continuation of our previous paper studying the structure of Cartan subalgebras of von Neumann factors of type ${\rm II}_1$. We provide more examples of ${\rm II}_1$ factors having eitherExpand