Corrigendum to “Classifying C*-algebras with both finite and infinite subquotients” [J. Funct. Anal. 265 (2013) 449–468]

TY - JOUR

T1 - Corrigendum to “Classifying C*-algebras with both finite and infinite subquotients” [J. Funct. Anal. 265 (2013) 449–468]

AU - Eilers, Søren

AU - Restorff, Gunnar

AU - Ruiz, Efren

PY - 2016/1/15

Y1 - 2016/1/15

N2 - As recently pointed out by Gabe, a fundamental paper by Elliott and Kucerovsky concerning the absorption theory for C*-algebras contains an error, and as a consequence we must report that Lemma4.5 in [3]is not true as stated. In this corrigendum, we prove an adjusted statement and explain why the error has no consequences to the main results of[3]. In particular, it is noted that all the authors' claims concerning Morita equivalence or stable isomorphism of graph C*-algebras remain correct as stated.

AB - As recently pointed out by Gabe, a fundamental paper by Elliott and Kucerovsky concerning the absorption theory for C*-algebras contains an error, and as a consequence we must report that Lemma4.5 in [3]is not true as stated. In this corrigendum, we prove an adjusted statement and explain why the error has no consequences to the main results of[3]. In particular, it is noted that all the authors' claims concerning Morita equivalence or stable isomorphism of graph C*-algebras remain correct as stated.

U2 - 10.1016/j.jfa.2015.09.027

DO - 10.1016/j.jfa.2015.09.027

M3 - Comment/debate

SN - 0022-1236

VL - 270

SP - 854

EP - 859

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -