A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras
P. W. Ng
Studia Mathematica, Tome 192 (2009), p. 135-145 / Harvested from The Polish Digital Mathematics Library
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Let 𝓐 be a unital separable simple nuclear C*-algebra such that ℳ (𝓐 ⊗ 𝓚) has real rank zero. Suppose that ℂ is a separable simple liftable and purely large unital C*-subalgebra of ℳ (𝓐 ⊗ 𝓚)/ (𝓐 ⊗ 𝓚). Then the relative double commutant of ℂ in ℳ (𝓐 ⊗ 𝓚)/(𝓐 ⊗ 𝓚) is equal to ℂ.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:285253 
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     title = {A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
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P. W. Ng. A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras. Studia Mathematica, Tome 192 (2009) pp. 135-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm190-2-3/