Maximal rank of extremal marginal tracial states
نویسندگان
چکیده
منابع مشابه
Extremal Marginal Tracial States in Coupled Systems
Let Γ be the convex set consisting of all states φ on the tensor product B ⊗ B of the algebra B = Mn(C) of all n × n matrices over the complex numbers C with the property that the restrictions φ B⊗I and φ I⊗B are the unique tracial states on B ⊗ I and I ⊗ B . We find necessary and sufficient conditions for such a state, called a marginal tracial state, to be extremal in Γ . We also give a chara...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2010
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3481567