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A noncommutative moment problem

By Don Hadwin


We prove a noncommutative moment theorem and relate it to Connes’ problem of embedding finite factor von Neumann algebras into an ultraproduct of the hyperfinite II1 factor. We include a linear-algebraic equivalent of Connes’ problem, which asks for a characterization of all noncommutative polynomials which have positive trace when the variables are replaced by contractive hermitian n × n matrices

Year: 2001
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