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A note on noncommutative moment problems

A note on noncommutative moment problems
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摘要 Noncommutative moment problems for C*-algebras are studied. We generalize a result of Hadwin on tracial states to nontracial case. Our results are applied to obtain simple solutions to moment problems on the square and the circle as well as extend the positive unital functionals from a (discrete) complex group algebra to states on the group C*-algebra. Noncommutative moment problems for C*-algebras are studied. We generalize a result of Hadwin on tracial states to nontracial case. Our results are applied to obtain simple solutions to moment problems on the square and the circle as well as extend the positive unital functionals from a (discrete) complex group algebra to states on the group C*-algebra.
出处 《Science China Mathematics》 SCIE 2005年第8期1144-1151,共8页 中国科学:数学(英文版)
关键词 moment free product state GROUP C*-algebra. moment, free product, state, group C*-algebra
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