PreprintCC BY 4.0arXiv
Complexity Rank of AT Algebras of Real Rank Zero
Abstract
In this paper, we prove that every separable unital AT algebra of real rank zero has complexity rank at most one. In particular, every irrational rotation algebra has complexity rank one. This answers a question of Jaime and Willett.
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BibTeX
@misc{an2026complexity,
title = {{Complexity Rank of AT Algebras of Real Rank Zero}},
author = {Qingnan An and Kang Li and Zhichao Liu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.09809},
eprint = {2610.09809},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.09809},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Complexity Rank of AT Algebras of Real Rank Zero
AU - Qingnan An
AU - Kang Li
AU - Zhichao Liu
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.09809
UR - https://arxiv.org/abs/2610.09809
AB - In this paper, we prove that every separable unital AT algebra of real rank zero has complexity rank at most one. In particular, every irrational rotation algebra has complexity rank one. This answers a question of Jaime and Willett.
ER -