Abstract: If is a locally compact Hausdorff
space and is a homeomorphism, then and are said to be conjugate if there
is a homeomorphism such that Let be the
-crossed product of The semi-crossed product associated
to is the closed subalgebra of the
-algebraand denoted by The semi-crossed products and are isomorphic as complex algebras
if and only if the pairs and are conjugate.
Keywords and phrases:
-algebra, homeomorphism, representation and crossed product of
-algebra.
-algebra, homeomorphism, representation and crossed product of 
