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PreprintCC BY 4.0arXiv

Weak tracial approximation and a weak Rokhlin property for C*-dynamical systems

  • George A. Elliott
  • Chun Guang Li
  • Zhuang Niu
  • Qingyun Wang
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Abstract

We extend results on tracial approximability of crossed products from the setting of topological dynamical systems to C*-dynamical systems. For actions of discrete amenable groups on unital C*-algebras, we introduce a weak Rokhlin property which leads to a weak tracial approximation of the crossed products by means of finite direct sums of matrix algebras over hereditary subalgebras of the original algebra. Examples are given.

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Cite

BibTeXRIS
BibTeX
@misc{elliott2026weak,
  title = {{Weak tracial approximation and a weak Rokhlin property for C*-dynamical systems}},
  author = {George A. Elliott and Chun Guang Li and Zhuang Niu and Qingyun Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37558},
  eprint = {2610.37558},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37558},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Weak tracial approximation and a weak Rokhlin property for C*-dynamical systems
AU  - George A. Elliott
AU  - Chun Guang Li
AU  - Zhuang Niu
AU  - Qingyun Wang
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37558
UR  - https://arxiv.org/abs/2610.37558
AB  - We extend results on tracial approximability of crossed products from the setting of topological dynamical systems to C*-dynamical systems. For actions of discrete amenable groups on unital C*-algebras, we introduce a weak Rokhlin property which leads to a weak tracial approximation of the crossed products by means of finite direct sums of matrix algebras over hereditary subalgebras of the original algebra. Examples are given.
ER  -