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PreprintCC BY-NC-SA 4.0arXiv

Selfless Reduced Crossed Product C*-Algebras Arising from Almost Periodic Actions

  • Syuichi Ohshima
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Abstract

We prove that the reduced crossed product C*-algebras of almost periodic actions of countable discrete groups having a topologically free extreme boundary on unital, separable, simple, exact, 𝒵-stable and monotracial C*-algebras are selfless. We combine Ozawa's "tree-graded'' space method with the theory of strong convergence of indexed families for the proof.

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Cite

BibTeXRIS
BibTeX
@misc{ohshima2026selfless,
  title = {{Selfless Reduced Crossed Product $C^*$-Algebras Arising from Almost Periodic Actions}},
  author = {Syuichi Ohshima},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.26987},
  eprint = {2608.26987},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.26987},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Selfless Reduced Crossed Product C^*-Algebras Arising from Almost Periodic Actions
AU  - Syuichi Ohshima
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.26987
UR  - https://arxiv.org/abs/2608.26987
AB  - We prove that the reduced crossed product C^*-algebras of almost periodic actions of countable discrete groups having a topologically free extreme boundary on unital, separable, simple, exact, 𝒵-stable and monotracial C^*-algebras are selfless. We combine Ozawa's "tree-graded'' space method with the theory of strong convergence of indexed families for the proof.
ER  -