Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 54 min ago
PreprintCC BY 4.0arXiv

On the generators of separable unital C*-algebras

  • George A. Elliott
  • Chun Guang Li
  • Zhuang Niu
Open at sourcePDFDOICite

Abstract

Let A be a separable unital C*-algebra with nonempty tracial state space and strict comparison by ordinary tracial states. If 𝒡 embeds unitally into A, then A is singly generated. In particular, every simple separable unital C*-algebra A with T(A)β‰ βˆ… and strict comparison is singly generated.

Related

  1. A single generation theorem for simple unital C*-algebras with CPoU and comparison
    Xin Ma
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Free groups amenably act on unital simple AF-algebras
    Yuhei Suzuki
    arXivPreprintarXiv licenceFull textAnalysis & PDEsDynamical systemsarXiv
  3. Classification of $3$-dimensional unital commutative algebras
    Maqpal Eraliyeva, Ivan Kaygorodov
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Nonlinear Lie Triple Centralizers of Unital Algebras with Idempotents
    Xiuhai Fei, Haifang Zhang, Rongling Li +1
    MathematicsPeer-reviewedCC BY 4.0Algebra & number theoryCrossref
  5. Order isomorphisms on positive cones of non-unital C*-algebras
    Osamu Hatori, Shiho Oi
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{elliott2026generators,
  title = {{On the generators of separable unital C*-algebras}},
  author = {George A. Elliott and Chun Guang Li and Zhuang Niu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17411},
  eprint = {2610.17411},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17411},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the generators of separable unital C*-algebras
AU  - George A. Elliott
AU  - Chun Guang Li
AU  - Zhuang Niu
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.17411
UR  - https://arxiv.org/abs/2610.17411
AB  - Let A be a separable unital C^*-algebra with nonempty tracial state space and strict comparison by ordinary tracial states. If 𝒡 embeds unitally into A, then A is singly generated. In particular, every simple separable unital C^*-algebra A with T(A)β‰ βˆ… and strict comparison is singly generated.
ER  -