A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras

• Autorzy: P. W. Ng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L35: Classifications of C * -algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 190
• Numer: 2
• Strony: 135-145

Daty

wydano

2009

Twórcy

autor

P. W. Ng

• Department of Mathematics, University of Louisiana, 217 Maxim D. Doucet Hall, P.O. Box 41010, Lafayette, LA 70504-1010, U.S.A.

Identyfikatory

DOI

10.4064/sm190-2-3