English

C*-envelopes and the Hao-Ng isomorphism for discrete groups

Operator Algebras 2016-08-12 v3

Abstract

Using non-selfadjoint techniques, we establish the Hao-Ng isomorphism for the reduced crossed product and all discrete groups. For the full crossed product an analogous result holds for all discrete groups but the C*-correspondences involved have to be hyperrigid. These results are obtained by calculating the C*-envelope of the reduced crossed product of an operator algebra by a discrete group.

Keywords

Cite

@article{arxiv.1606.01513,
  title  = {C*-envelopes and the Hao-Ng isomorphism for discrete groups},
  author = {Elias G. Katsoulis},
  journal= {arXiv preprint arXiv:1606.01513},
  year   = {2016}
}

Comments

15 pages, final version to appear in International Mathematics Research Notices

R2 v1 2026-06-22T14:18:05.810Z