PreprintCC BY 4.0arXiv
Factorisation and matrix amplification of real rank zero inclusions
Abstract
We show that real rank zero is not preserved under matrix amplifications of inclusions. This yields real rank zero inclusions that do not approximately factor through real rank zero C*-algebras, thereby resolving two questions of Gabe and Neagu.
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BibTeX
@misc{bell2026factorisation,
title = {{Factorisation and matrix amplification of real rank zero inclusions}},
author = {Jamie Bell},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31556},
eprint = {2609.31556},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31556},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Factorisation and matrix amplification of real rank zero inclusions
AU - Jamie Bell
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31556
UR - https://arxiv.org/abs/2609.31556
AB - We show that real rank zero is not preserved under matrix amplifications of inclusions. This yields real rank zero inclusions that do not approximately factor through real rank zero C*-algebras, thereby resolving two questions of Gabe and Neagu.
ER -