Classification of Analytic Crossed Product Algebras
S. C. Power · Bulletin of the London Mathematical Society · 1992
The semicrossed product algebras C(X) × φZ+, C(Y)×ψZ+ are isomorphic as complex algebras if and only if the homeomorphisms φ, ψ are conjugate. A similar general classification is obtained for the weakly closed analytic operator algebras associated with Borel automorphisms.