English

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

Operator Algebras 2017-09-13 v1

Abstract

In this paper, we consider the real rank zero C\mathrm{C}^*-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.

Keywords

Cite

@article{arxiv.1709.03684,
  title  = {A decomposition theorem for real rank zero inductive limits of 1-dimensional non-commutative CW complexes},
  author = {Zhichao Liu},
  journal= {arXiv preprint arXiv:1709.03684},
  year   = {2017}
}
R2 v1 2026-06-22T21:39:53.401Z