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PreprintCC BY 4.0arXiv

Commutators in selfless C∗-algebras

  • Alexander G. Ravnanger
Open at sourcePDFDOICite

Abstract

We show that if (A, τ) is a selfless C∗-probability space with τ being a faithful trace, then commutators are dense in ker τ.

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Cite

BibTeXRIS
BibTeX
@misc{ravnanger2026commutators,
  title = {{Commutators in selfless C$^\ast$-algebras}},
  author = {Alexander G. Ravnanger},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30199},
  eprint = {2610.30199},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30199},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Commutators in selfless C^∗-algebras
AU  - Alexander G. Ravnanger
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30199
UR  - https://arxiv.org/abs/2610.30199
AB  - We show that if (A, τ) is a selfless C^∗-probability space with τ being a faithful trace, then commutators are dense in ker τ.
ER  -