scholarly journals Exactness and SOAP of crossed products via Herz–Schur multipliers

2021 ◽  
Vol 496 (2) ◽  
pp. 124812
Author(s):  
Andrew McKee ◽  
Lyudmila Turowska
Keyword(s):  
Crossed Products ◽  
Schur Multipliers

scholarly journals Positive Herz–Schur multipliers and approximation properties of crossed products

2017 ◽  
Vol 165 (3) ◽  
pp. 511-532 ◽  
Author(s):  
ANDREW MCKEE ◽  
ADAM SKALSKI ◽  
IVAN G. TODOROV ◽  
LYUDMILA TUROWSKA
Keyword(s):  
Discrete Group ◽  
Crossed Products ◽  
Approximation Properties ◽  
Completely Positive ◽  
Haagerup Property ◽  
Schur Multipliers

For aC*-algebraAand a setXwe give a Stinespring-type characterisation of the completely positive SchurA-multipliers on κ(ℓ2(X)) ⊗A. We then relate them to completely positive Herz–Schur multipliers onC*-algebraic crossed products of the formA⋊α,rG, withGa discrete group, whose various versions were considered earlier by Anantharaman-Delaroche, Bédos and Conti, and Dong and Ruan. The latter maps are shown to implement approximation properties, such as nuclearity or the Haagerup property, forA⋊α,rG.

scholarly journals Discrete Product Systems and Twisted Crossed Products by Semigroups

1998 ◽  
Vol 155 (1) ◽  
pp. 171-204 ◽  
Author(s):  
Neal J. Fowler ◽  
Iain Raeburn
Keyword(s):  
Crossed Products ◽  
Product Systems

scholarly journals The Dixmier-Douady class of groupoid crossed products

2004 ◽  
Vol 76 (2) ◽  
pp. 223-234 ◽  
Author(s):  
Paul S. Muhly ◽  
Dana P. Williams
Keyword(s):  
Crossed Product ◽  
Crossed Products ◽  
Continuous Trace

AbstractWe give a formula for the Dixmier-Douady class of a continuous-trace groupoid crossed product that arises from an action of a locally trivial, proper, principal groupoid on a bundle of elementary C*-algebras that satisfies Fell's condition.

scholarly journals On deformations of crossed products

2007 ◽  
Vol 210 (1) ◽  
pp. 81-91
Author(s):  
Eli Aljadeff ◽  
Yuval Ginosar ◽  
Andy R. Magid
Keyword(s):  
Crossed Products

scholarly journals The Jacobson Radical for Analytic Crossed Products

2001 ◽  
Vol 187 (1) ◽  
pp. 129-145 ◽  
Author(s):  
Allan P Donsig ◽  
Aristides Katavolos ◽  
Antonios Manoussos
Keyword(s):  
Jacobson Radical ◽  
Crossed Products
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