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A noncommutative moment problem
Author(s):
Don
Hadwin
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1785-1791.
MSC (2000):
Primary 44A60, 46L89;
Secondary 46L50, 47A57
Posted:
January 23, 2001
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Abstract:
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  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  matrices.
References:
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Additional Information:
Don
Hadwin
Affiliation:
Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824
Email:
don@math.unh.edu
DOI:
10.1090/S0002-9939-01-05772-0
PII:
S 0002-9939(01)05772-0
Keywords:
Moments,
tracial states,
${C}^*$-algebra,
ultrapower,
free product
Received by editor(s):
June 2, 1999
Received by editor(s) in revised form:
October 11, 1999
Posted:
January 23, 2001
Dedicated:
Dedicated to the memory of my brother, Gary, whose cheerful spirit still fills my heart
Communicated by:
David R. Larson
Copyright of article:
Copyright
2001,
American Mathematical Society
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