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arXiv · 1709.03684

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

Zhichao Liu
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Abstract

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

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Zhichao Liu. 2017-09-12. A decomposition theorem for real rank zero inductive limits of 1-dimensional non-commutative CW complexes. https://arxiv.org/abs/1709.03684

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