A decomposition theorem for real rank zero inductive limits of 1-dimensional non-commutative CW complexes

Abstract

In this paper, we consider the real rank zero ${\mathrm{C}}^{\ast }$-algebras which can be written as an inductive limit of the Elliott-Thomsen building blocks and prove a decomposition result for the connecting homomorphisms; this technique will be used in the classification theorem.

References in corpus (1)

• The classification of simple separable unital locally ASH algebras