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PreprintCC BY 4.0arXiv

Groups with rapid decay and trivial amenable radical are C*-simple

Abstract

We prove that every finitely generated group with rapid decay and trivial amenable radical is C*-simple.

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BibTeX
@misc{barnett2026groups,
  title = {{Groups with rapid decay and trivial amenable radical are C*-simple}},
  author = {Caleb Barnett and Joseph Gondek and Mehrdad Kalantar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08891},
  eprint = {2610.08891},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08891},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Groups with rapid decay and trivial amenable radical are C*-simple
AU  - Caleb Barnett
AU  - Joseph Gondek
AU  - Mehrdad Kalantar
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08891
UR  - https://arxiv.org/abs/2610.08891
AB  - We prove that every finitely generated group with rapid decay and trivial amenable radical is C*-simple.
ER  -