TY - JOUR
T1 - Generalized inductive limits of quasidiagonal C*-algebras
AU - Brown, Nathanial P.
PY - 2012/1/15
Y1 - 2012/1/15
N2 - If A is a unital quasidiagonal C*-algebra, we construct a generalized inductive limit BA which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e.g., the cone over a Cuntz algebra), then BA is tracially AF which, among other things, lends support to a conjecture of Toms.
AB - If A is a unital quasidiagonal C*-algebra, we construct a generalized inductive limit BA which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e.g., the cone over a Cuntz algebra), then BA is tracially AF which, among other things, lends support to a conjecture of Toms.
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U2 - 10.1016/j.jfa.2011.09.016
DO - 10.1016/j.jfa.2011.09.016
M3 - Article
AN - SCOPUS:80955142623
SN - 0022-1236
VL - 262
SP - 451
EP - 462
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -