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

@article{P2009,
abstract = {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.},
author = {P. W. Ng},
journal = {Studia Mathematica},
keywords = {-algebras; multiplier algebras; corona algebras; von Neumann double commutant theorem; absorbing extensions},
language = {eng},
number = {2},
pages = {135-145},
title = {A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras},
url = {http://eudml.org/doc/285253},
volume = {190},
year = {2009},
}

TY - JOUR
AU - P. W. Ng
TI - A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras
JO - Studia Mathematica
PY - 2009
VL - 190
IS - 2
SP - 135
EP - 145
AB - 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.
LA - eng
KW - -algebras; multiplier algebras; corona algebras; von Neumann double commutant theorem; absorbing extensions
UR - http://eudml.org/doc/285253
ER -