Abstract:For a given discrete group
G
G
, we apply results of Kirchberg on exact and injective tensor products of
C
∗
C^*
-algebras to give an explicit description of the minimal exact correspondence crossed-product functor and the maximal injective crossed-product functor for
G
G
in the sense of Buss, Echterhoff and Willett. In particular, we show that the former functor dominates the latter.
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