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PreprintCC BY 4.0arXiv

Values of Rokhlin Dimension for Integer Actions

  • Prahlad Vaidyanathan
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Abstract

For an action of the integers on a C*-algebra, we show that the only possible values for the Rokhlin dimension (with commuting towers) are $0,1,2$ and +∞. We study these values for certain classes of C*-algebras, and show that there is an automorphism of the Jiang--Su algebra with the property that its Rokhlin dimension with and without commuting towers are distinct.

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Cite

BibTeXRIS
BibTeX
@misc{vaidyanathan2026values,
  title = {{Values of Rokhlin Dimension for Integer Actions}},
  author = {Prahlad Vaidyanathan},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07556},
  eprint = {2611.07556},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07556},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Values of Rokhlin Dimension for Integer Actions
AU  - Prahlad Vaidyanathan
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07556
UR  - https://arxiv.org/abs/2611.07556
AB  - For an action of the integers on a C*-algebra, we show that the only possible values for the Rokhlin dimension (with commuting towers) are $0,1,2$ and +∞. We study these values for certain classes of C*-algebras, and show that there is an automorphism of the Jiang--Su algebra with the property that its Rokhlin dimension with and without commuting towers are distinct.
ER  -