Introduces uniformly recurrent subalgebras (URAs) and proves they characterize C*-simplicity of groups via amenable crossed products while allowing arbitrary topological complexity.
Michael's selection theorem and applications to the Mar \'e chal topology
2 Pith papers cite this work. Polarity classification is still indexing.
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Characterizes subequivalence relations with dense orbits in the space for the ergodic hyperfinite p.m.p. equivalence relation, proves full group orbits are meager, and computes some Borel complexities using the uniform metric.
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Uniformly recurrent subalgebras in finite von Neumann algebras
Introduces uniformly recurrent subalgebras (URAs) and proves they characterize C*-simplicity of groups via amenable crossed products while allowing arbitrary topological complexity.
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On dense orbits in the space of subequivalence relations
Characterizes subequivalence relations with dense orbits in the space for the ergodic hyperfinite p.m.p. equivalence relation, proves full group orbits are meager, and computes some Borel complexities using the uniform metric.