English

A Galois correspondence for compact group actions on C*-algebras

Operator Algebras 2019-04-30 v2

Abstract

In this paper, we prove a Galois correspondence for compact group actions on C*-algebras in the presence of a commuting minimal action. Namely, we show that there is a one to one correspondence between the C*-subalgebras that are globally invariant under the compact action and the commuting minimal action, that in addition contain the fixed point algebra of the compact action and the closed, normal subgroups of the compact group.

Keywords

Cite

@article{arxiv.1102.0317,
  title  = {A Galois correspondence for compact group actions on C*-algebras},
  author = {Costel Peligrad},
  journal= {arXiv preprint arXiv:1102.0317},
  year   = {2019}
}