The .-comparison Property and Finite Nuclear Dimension of Generalized Inductive Limits for C-algebras

Authors
Liang, Yue Liang Fang, Xiao Chun
Citation
Liang, Yue Liang et Fang, Xiao Chun, The .-comparison Property and Finite Nuclear Dimension of Generalized Inductive Limits for C-algebras, Acta mathematica Sinica. English series (Print) , 34(9), 2018, pp. 1417-1428
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
9
Year of publication
2018
Pages
1417 - 1428
Database
ACNP
SICI code
Abstract
The paper is devoted to the study of generalized inductive limit of C*-algebras with coherent maps being completely positive contractions of order zero: the nuclear dimension of generalized inductive limit of C*-algebras with finite nuclear dimension is finite; the generalized inductive limits of C*-algebras with the .-comparison property also have the .-comparison property.