The noncommutative Choquet boundary II: Hyperrigidity
نویسندگان
چکیده
منابع مشابه
The Noncommutative Choquet Boundary Ii: Hyperrigidity
A (finite or countably infinite) set G of generators of an abstract C∗-algebra A is called hyperrigid if for every faithful representation of A on a Hilbert space A ⊆ B(H) and every sequence of unital completely positive linear maps φ1, φ2, . . . from B(H) to itself, lim n→∞ ‖φn(g)− g‖ = 0,∀g ∈ G =⇒ lim n→∞ ‖φn(a)− a‖ = 0, ∀a ∈ A. We show that one can determine whether a given set G of generato...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2011
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-011-0071-z