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A note on purely infinite extensions
Abstract
We study a strong pure infiniteness property for extensions, and give a classification result for extensions which contains many (and possibly all) previous cases, under standard and mild assumptions. We also prove a Voiculescu-type theorem decomposition theorem for certain C*-subalgebras of a corona algebra, for which the inclusion map has this strong pure infiniteness property.
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BibTeX
@misc{ng2026note,
title = {{A note on purely infinite extensions}},
author = {Ping Wong Ng and Cangyuan Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12992},
eprint = {2610.12992},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12992},
}
RIS
TY - UNPB
TI - A note on purely infinite extensions
AU - Ping Wong Ng
AU - Cangyuan Wang
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.12992
UR - https://arxiv.org/abs/2610.12992
AB - We study a strong pure infiniteness property for extensions, and give a classification result for extensions which contains many (and possibly all) previous cases, under standard and mild assumptions. We also prove a Voiculescu-type theorem decomposition theorem for certain C*-subalgebras of a corona algebra, for which the inclusion map has this strong pure infiniteness property.
ER -