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PreprintCC BY 4.0arXiv

The generator problem for C*-algebras with comparison

  • Ben Bouwen
  • Jorge Castillejos
  • Jakub Curda
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Abstract

We show that certain classes of unital, simple, separable C*-algebras with comparison are singly generated, including tracially AF algebras and monotracial crossed products of actions on the Cantor space. In particular, we show that simple, separable, tracially AF algebras have generator rank one.

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Cite

BibTeXRIS
BibTeX
@misc{bouwen2026generator,
  title = {{The generator problem for C*-algebras with comparison}},
  author = {Ben Bouwen and Jorge Castillejos and Jakub Curda},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13792},
  eprint = {2610.13792},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13792},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The generator problem for C*-algebras with comparison
AU  - Ben Bouwen
AU  - Jorge Castillejos
AU  - Jakub Curda
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13792
UR  - https://arxiv.org/abs/2610.13792
AB  - We show that certain classes of unital, simple, separable C*-algebras with comparison are singly generated, including tracially AF algebras and monotracial crossed products of actions on the Cantor space. In particular, we show that simple, separable, tracially AF algebras have generator rank one.
ER  -