Conjugate Dynamical Systems on C*-algebras
Abstract
Let
(A,α)
and
(B,β)
be C*-dynamical systems where
α
and
β
are arbitrary *-endomorphisms. When
α
is injective or surjective, we show that the semicrossed products
A
×
α
Z
and
B
×
β
Z
are isometrically isomorphic if and only if
(A,α)
and
(B,β)
are outer conjugate. This conclusion also holds in various other cases as well.