INJECTIVE ENVELOPES AND LOCAL MULTIPLIER ALGEBRAS OF SOME SPATIAL CONTINUOUS TRACE C*-ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Injective Envelopes and Local Multiplier Algebras of C*-algebras
The local multiplier C*-algebra Mloc(A) of any C*-algebra A can be ∗-isomorphicly embedded into the injective envelope I(A) of A in such a way that the canonical embeddings of A into both these C*-algebras are identified. If A is commutative then Mloc(A) ≡ I(A). The injective envelopes of A and Mloc(A) always coincide, and every higher order local multiplier C*-algebra of A is contained in the ...
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Characterisations of those separable C∗-algebras that have type I injective envelopes or W∗-algebra injective envelopes are presented. An operator system I is injective if for every inclusion E ⊂ F of operator systems each completely positive linear map ω : E → I has a completely positive extension to F . An injective envelope of an operator system E is an injective operator system I such that ...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2010
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/haq037