On the commability and quasi-isometry classification of focal groups
Yves Cornulier
Primary 20F67Secondary 20E0820F6522D0522D4553C3057M0757S2057S30Compacting automorphismslocally compact groupsGromov-hyperbolic groupsfocal groupscommabilitymillefeuille spacesquasi-isometric classification
We introduce the notion of commability between locally compact groups, namely the equivalence relation generated by co-compact inclusions and quotients by compact normal subgroups. We give a classification of focal hyperbolic locally compact groups up to commability. In the mixed case, it involves a real parameter, which is shown to be a quasi-isometry invariant.
Indiana University Mathematics Journal
2015
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10.1512/iumj.2015.64.5441
10.1512/iumj.2015.64.5441
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Indiana Univ. Math. J. 64 (2015) 115 - 150
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