# On the Classification of Certain Real Rank Zero $\mathrm{C}^*$-Algebras

**Authors:** Qingnan An, Zhichao Liu, Yuanhang Zhang

arXiv: 1902.00124 · 2019-09-16

## TL;DR

This paper provides a classification framework for a specific class of real rank zero C*-algebras constructed as inductive limits of Elliott-Thomsen algebras, advancing understanding of their structure.

## Contribution

It introduces a classification scheme for real rank zero C*-algebras built from inductive limits of a particular subclass of Elliott-Thomsen algebras, expanding existing classification results.

## Key findings

- Classification of certain real rank zero C*-algebras
- Expressed as inductive limits of Elliott-Thomsen algebras
- Provides structural insights into these algebras

## Abstract

In this paper, a classification is given of real rank zero $C^*$-algebras that can be expressed as inductive limits of a sequence of a subclass of Elliott-Thomsen algebras $\mathcal{C}$.

## Full text

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## References

33 references — full list in the complete paper: https://tomesphere.com/paper/1902.00124/full.md

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Source: https://tomesphere.com/paper/1902.00124