Commability of groups quasi-isometric to trees

Carette, Mathieu

doi:10.5802/aif.3190

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“…Update. This question was settled positively in full generality by M. Carette [Ca13] after being asked in a previous version of this survey and in [Co15].…”

Section: F2 Special Groupsmentioning

confidence: 99%

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On the quasi-isometric classification of locally compact groups

Cornulier¹

New Directions in Locally Compact Groups

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This (quasi-)survey addresses the quasi-isometry classification of locally compact groups, with an emphasis on amenable hyperbolic locally compact groups. This encompasses the problem of quasi-isometry classification of homogeneous negatively curved manifolds. A main conjecture provides a general description; an extended discussion reduces this conjecture to more specific statements.In the course of the paper, we provide statements of quasi-isometric rigidity for general symmetric spaces of noncompact type and also discuss accessibility issues in the realm of compactly generated locally compact groups.

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“…Update. This question was settled positively in full generality by M. Carette [Ca13] after being asked in a previous version of this survey and in [Co15].…”

Section: F2 Special Groupsmentioning

confidence: 99%

“…Question 5.F.7). After being asked in a first version of this survey, it has been solved by M. Carette [Ca13].…”

mentioning

confidence: 99%