Positive Herz-Schur multipliers and approximation properties of crossed products
Artikel i vetenskaplig tidskrift, 2017

For a C*-algebra A and a set X we give a Stinespring-type characterisation of the completely positive Schur A -multipliers on K(ℓ^2(X))⊗A . We then relate them to completely positive Herz-Schur multipliers on C ∗ -algebraic crossed products of the form A⋊ α,r G , with G a discrete group, whose various versions were considered earlier by Anantharaman-Delaroche, Bedos and Conti, and Dong and Ruan. The latter maps are shown to implement approximation properties, such as nuclearity or the Haagerup property, for A⋊ α,r G .

Författare

Andrew McKee

Adam Skalski

I. G. Todorov

Lyudmyla Turowska

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Mathematical Proceedings of the Cambridge Philosophical Society

0305-0041 (ISSN) 1469-8064 (eISSN)

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1017/S0305004117000639

Mer information

Skapat

2017-10-07