A. Vaccaro

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math.OA2025

Continuous Selection of Unitaries in II $_{1}$ Factors

Ilijas Farah, Andrea Vaccaro

We prove continuous-valued analogues of the basic fact that Murray-von Neumann subequivalence of projections in II $_{1}$ factors is completely determined by tracial evaluations. We m…

math.OA2025

Uniform property $I^$ and the small boundary property

Grigoris Kopsacheilis, Hung-Chang Liao, Aaron Tikuisis +1

We prove that, for a free action $I^\pm : G ↷ X$ of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied b…

Continuous Selection of Unitaries in II1​ Factors

Uniform property I^ and the small boundary property

Continuous Selection of Unitaries in II $_{1}$ Factors

Uniform property $I^$ and the small boundary property