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

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 α -comparison property also have the α -comparison property.