TY  - JOUR
AB  - 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.
AU  - Collins, Benoît
AU  - Dykema, Kenneth J.
DA  - 2011
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 101
PY  - 2011
SP  - 101-118
T2  - Münster Journal of Mathematics
TI  - Free products of sofic groups with amalgamation over monotileably amenable groups
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-32449563611
Y2  - 2024-11-22T10:39:55
ER  -