scholarly journals On covariant representations of continuous $C^{*}$ -dynamical systems

1980 ◽  
Vol 32 (2) ◽  
pp. 201-211
Author(s):  
Moto O'UCHI
Keyword(s):  
Dynamical Systems ◽  
Covariant Representations

scholarly journals PROJECTIVE COVARIANT REPRESENTATIONS OF LOCALLY $C^*$-DYNAMICAL SYSTEMS

2013 ◽  
Vol 17 (2) ◽  
pp. 529-544 ◽  
Author(s):  
Jaeseong Heo ◽  
Un Cig Ji ◽  
Young Yi Kim
Keyword(s):  
Dynamical Systems ◽  
Covariant Representations

scholarly journals Naturality and induced representations

2000 ◽  
Vol 61 (3) ◽  
pp. 415-438 ◽  
Author(s):  
Siegfried Echterhoff ◽  
S. Kaliszewski ◽  
John Quigg ◽  
Iain Raeburn
Keyword(s):  
Dynamical Systems ◽  
Ad Hoc ◽  
Natural Transformation ◽  
Point Of View ◽  
Crossed Product ◽  
Crossed Products ◽  
Induced Representations ◽  
Covariant Representations ◽  
Natural Equivalence ◽  
Special Cases

We show that induction of covariant representations for C*-dynamical systems is natural in the sense that it gives a natural transformation between certain crossed-product functors. This involves setting up suitable categories of C*-algebras and dynamical systems, and extending the usual constructions of crossed products to define the appropriate functors. From this point of view, Green's Imprimitivity Theorem identifies the functors for which induction is a natural equivalence. Various special cases of these results have previously been obtained on an ad hoc basis.

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