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math.OA2024
On a question of Kaplansky concerning his density theorem
George A. Elliott, Charles J. K. Griffin
A new proof following a suggestion of Kaplansky to use a result of Dixmier, and in this way avoid unbounded nets of operators, is given of the Kaplansky density theorem.
math.OA2024
On the small boundary property, -absorption, and Bauer simplexes
George A. Elliott, Zhuang Niu
Let be a compact metrizable space, and let be a closed set of Borel probability measures on . We study the small boundary property of the pair . In particular, i…