A Similarity Degree Characterization of Nuclear $C^*$-algebras
نویسندگان
چکیده
منابع مشابه
A Similarity Degree Characterization of Nuclear C * -algebras
We show that a C *-algebra A is nuclear iff there is a number α < 3 and a constant K such that, for any bounded homomorphism u : A → B(H), there is an isomorphism ξ : H → H satisfying ξ −1 ξ ≤ Ku α and such that ξ −1 u(.)ξ is a *-homomorphism. In other words, an infinite dimensional A is nuclear iff its length (in the sense of our previous work on the Kadison similarity problem) is equal to 2. ...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2006
ISSN: 0034-5318
DOI: 10.2977/prims/1166642155