Crossed product of aC*-algebra by an endomorphism, coefficient algebras and transfer operators
نویسندگان
چکیده
منابع مشابه
The Crossed Product by a Partial Endomorphism
Given a closed ideal I in a C-algebra A, an ideal J (not necessarily closed) in I, a *-homomorphism α : A → M(I) and a map L : J → A with some properties, based on [3] and [9] we define a C-algebra O(A,α, L) which we call the Crossed Product by a Partial Endomorphism. In the second section we introduce the Crossed Product by a Partial Endomorphism O(X,α, L) induced by a local homeomorphism σ : ...
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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) ...
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We introduce the cylindrical module A♮H, where H is a Hopf algebra with S2 = idH and A is a Hopf module algebra over H. We show that there exists a cyclic map between the cyclic module of the crossed product algebra A⋊H and ∆(A♮H), the cyclic module related to the diagonal of A♮H. In the cocommutative case, ∆(A♮H) ∼= C•(A ⋊H). Finally we approximate ∆(A♮H) by a spectral sequence and we give an ...
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tive radius r. Let the center Xo be the sequence {&?}, and let 5 be chosen so large that 2~~ + 2~ s 2 + • • • k Q s. If we define xi as (ki, &2> ' * • » $j j8+i, is+2, • • • ), then xi belongs to K and limn fn(xi) = + °°Consequently xi cannot be a point of Up and this contradiction establishes U as a set of the f...
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ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2011
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm2011v202n09abeh004186