Free products of sofic groups with amalgamation over monotileably amenable groups

Titelaufnahme

Titel
Free products of sofic groups with amalgamation over monotileably amenable groups
Verfasser
Collins, Benoît ; Dykema, Kenneth J.
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 101-118
Erschienen
2011
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-32449563611

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Abstract

We show that free products of sofic groups with amalgamation over monotileably amenable subgroups are sofic. Consequently, so are HNN extensions of sofic groups relative to homomorphisms of monotileably amenable subgroups. We also show that families of independent uniformly distributed permutation matrices and certain families of nonrandom permutation matrices (essentially, those coming from quasi-actions of a sofic group) are asymptotically ∗-free as the matrix size grows without bound.

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