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- W1488188317 abstract "Using various finite dimensional approximation properties, four convex subsets of the tracial space of a unital C*-algebra are defined. Applications of these tracial invariants include: (1) An analogue of Szego's limit theorem for arbitrary self adjoint operators. (2) A McDuff factor embeds into the ultrapower of the hyperfinite II_1 factor if and only if it contains a weakly dense operator system which is injective. (3) There exists a simple, quasidiagonal, real rank zero C*-algebra with non-hyperfinite II_1 factor representations and which is not tracially AF. This answers negatively questions of Sorin Popa and, respectively, Huaxin Lin." @default.
- W1488188317 created "2016-06-24" @default.
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- W1488188317 date "2001-11-27" @default.
- W1488188317 modified "2023-09-27" @default.
- W1488188317 title "Tracial invariants, classification and II_1 factor representations of Popa algebras" @default.
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