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  • Title
    Free products of sofic groups with amalgamation over monotileably amenable groups
  • Author
    Collins, Benoît ; Dykema, Kenneth J.
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 101-118
  • Published
    2011
  • Language
    English
  • Document type
    Journal Article
  • 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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