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Bowen--Franks groups and minus class groups of imaginary abelian fields
Abstract
Lei, Müller, and Valligraveeres constructed a directed graph for which the torsion part of the corresponding Bowen--Franks group is related to the minus part of the class group of a cyclotomic number field with prime conductor. We extend this result to a general imaginary abelian field.
Related
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BibTeX
@misc{murakami2026bowenfranks,
title = {{Bowen--Franks groups and minus class groups of imaginary abelian fields}},
author = {Takuya Murakami},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27481},
eprint = {2610.27481},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27481},
}
RIS
TY - UNPB
TI - Bowen--Franks groups and minus class groups of imaginary abelian fields
AU - Takuya Murakami
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27481
UR - https://arxiv.org/abs/2610.27481
AB - Lei, Müller, and Valligraveeres constructed a directed graph for which the torsion part of the corresponding Bowen--Franks group is related to the minus part of the class group of a cyclotomic number field with prime conductor. We extend this result to a general imaginary abelian field.
ER -