Geodesic
A double commutant theorem for purely large $C^*$-subalgebras of real rank zero corona algebras
P. W. Ng 1
1 Department of Mathematics University of Louisiana 217 Maxim D. Doucet Hall P.O. Box 41010 Lafayette, LA 70504-1010, U.S.A.
Studia Mathematica, Tome 190 (2009) no. 2, pp. 135-145 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let ${\cal A}$ be a unital separable simple nuclear $C^*$-algebra such that ${{\cal M}({\cal A} \otimes {\cal K})}$ has real rank zero. Suppose that $\mathbb C$ is a separable simple liftable and purely large unital $C^*$-subalgebra of ${\cal M}({\cal A} \otimes {\cal K})/ ({\cal A} \otimes {\cal K})$. Then the relative double commutant of $\mathbb C$ in ${{\cal M}({\cal A}\otimes {\cal K})/({\cal A} \otimes {\cal K})}$ is equal to $\mathbb C$.
DOI : 10.4064/sm190-2-3
Keywords: cal unital separable simple nuclear * algebra cal cal otimes cal has real rank zero suppose mathbb separable simple liftable purely large unital * subalgebra cal cal otimes cal cal otimes cal relative double commutant mathbb cal cal otimes cal cal otimes cal equal mathbb

P. W. Ng  1

1 Department of Mathematics University of Louisiana 217 Maxim D. Doucet Hall P.O. Box 41010 Lafayette, LA 70504-1010, U.S.A. 
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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 190 (2009) no. 2, pp. 135-145. doi: 10.4064/sm190-2-3

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