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Aperiodic automorphisms of the Razak--Jacelon algebra

  • Norio Nawata
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Abstract

We completely classify aperiodic automorphisms of the Razak--Jacelon algebra 𝒲 up to outer conjugacy. As a technical ingredient, based on the works of Connes, Herman--Ocneanu, Kishimoto, and Sato, we introduce a notion of weak stability for automorphisms of simple separable monotracial C*-algebras. We also consider automorphisms of UHF algebras of infinite type and the Jiang--Su algebra. In particular, we classify aperiodic ``UHF-absorbing'' automorphisms of UHF algebras of infinite type up to outer conjugacy.

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Cite

BibTeXRIS
BibTeX
@misc{nawata2026aperiodic,
  title = {{Aperiodic automorphisms of the Razak--Jacelon algebra}},
  author = {Norio Nawata},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17543},
  eprint = {2610.17543},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17543},
}
RIS
TY  - UNPB
TI  - Aperiodic automorphisms of the Razak--Jacelon algebra
AU  - Norio Nawata
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.17543
UR  - https://arxiv.org/abs/2610.17543
AB  - We completely classify aperiodic automorphisms of the Razak--Jacelon algebra 𝒲 up to outer conjugacy. As a technical ingredient, based on the works of Connes, Herman--Ocneanu, Kishimoto, and Sato, we introduce a notion of weak stability for automorphisms of simple separable monotracial C^*-algebras. We also consider automorphisms of UHF algebras of infinite type and the Jiang--Su algebra. In particular, we classify aperiodic ``UHF-absorbing'' automorphisms of UHF algebras of infinite type up to outer conjugacy.
ER  -