Contractive and completely contractive homomorphisms of planar algebras
نویسندگان
چکیده
منابع مشابه
Contractive and Completely Contractive Homomorphisms of Planar Algebras
We consider contractive homomorphisms of a planar algebra A(Ω) over a finitely connected bounded domain Ω ⊆ C and ask if they are necessarily completely contractive. We show that a homomorphism ρ : A(Ω) → B(H) for which dim(A(Ω)/ ker ρ) = 2 is the direct integral of homomorphisms ρT induced by operators on two dimensional Hilbert spaces via a suitable functional calculus ρT : f 7→ f(T ), f ∈ A(...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2005
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138134