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

2016/06/05 by Katsoulis, Elias G.
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1606.01513

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.

Related

• The non-selfadjoint approach to the Hao-Ng isomorphism
• The reduced Hao-Ng isomorphism problem for non-degenerate product systems
• The Hao-Ng isomorphism theorem for reduced crossed products
• C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems
• Hyperrigidity of C*-correspondences