English

Classification of quasi-free compact group actions on Cuntz algebras

Operator Algebras 2024-10-11 v2 K-Theory and Homology Representation Theory

Abstract

Quasi-free actions of finite groups on Cuntz algebras On\mathcal O_n for n2n\geq 2 are classified up to conjugacy by data in the representation ring. Partial results are obtained for quasi-free actions by compact groups.

Keywords

Cite

@article{arxiv.2407.12059,
  title  = {Classification of quasi-free compact group actions on Cuntz algebras},
  author = {James Gabe},
  journal= {arXiv preprint arXiv:2407.12059},
  year   = {2024}
}

Comments

3 pages. V2: Minor changes. This is the final version, to appear in Proceedings of the AMS