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PreprintarXiv licencearXiv

Non-Existence of Abelian KS-Algebras in Mn(ℂ) for n ≥ 3

Abstract

We prove that Mn(ℂ) contains no abelian Kadison--Singer algebra for any n ≥ 3.

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BibTeX
@misc{yuan2026nonexistence,
  title = {{Non-Existence of Abelian KS-Algebras in $M_n(\mathbbC)$ for $n \geq 3$}},
  author = {Wei Yuan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12482},
  eprint = {2610.12482},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12482},
}
RIS
TY  - UNPB
TI  - Non-Existence of Abelian KS-Algebras in M_n(ℂ) for n ≥ 3
AU  - Wei Yuan
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.12482
UR  - https://arxiv.org/abs/2610.12482
AB  - We prove that M_n(ℂ) contains no abelian Kadison--Singer algebra for any n ≥ 3.
ER  -