Computable presentations of reduced group C*-algebras of groups with the rapid decay property

@misc{goldbring2026computable,
  title = {{Computable presentations of reduced group C*-algebras of groups with the rapid decay property}},
  author = {Isaac Goldbring},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05990},
  eprint = {2610.05990},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05990},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Computable presentations of reduced group C*-algebras of groups with the rapid decay property
AU  - Isaac Goldbring
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.05990
UR  - https://arxiv.org/abs/2610.05990
AB  - We show that whenever G is a finitely generated group with the rapid decay property (property RD), then the norm on the reduced group C*-algebra C^*_r(G) is computable if (and only if) G has solvable word problem. We also give an example of a finitely presented group G with solvable word problem for which the norm on C^*_r(G) is not computable.
ER  -