The Crossed Product by a Partial Endomorphism and the Covariance Algebra
نویسنده
چکیده
Given a local homeomorphism σ : U → X where U ⊆ X is clopen and X is a compact and Hausdorff topological space, we obtain the possible transfer operators Lρ which may occur for α : C(X) → C(U) given by α(f) = f ◦ σ. We obtain examples of partial dynamical systems (XA, σA) such that the construction of the covariance algebra C (XA, σA) and the crossed product by partial endomorphism O(XA, α, L) associated to this system are not equivalent, in the sense that there does not exists invertible function ρ ∈ C(U) such that O(XA, α, Lρ) = C(XA, σ).
منابع مشابه
Crossed product of a C ∗ - algebra by a semigroup of bounded positive linear maps . Interactions .
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