On automorphisms of algebras with a single unary operation
Fuhrken, G. (1973)
Portugaliae mathematica
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Fuhrken, G. (1973)
Portugaliae mathematica
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Richard Byrd, Justin Lloyd, Franklin Pederson, James Stepp (1984)
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Kures̆, Miroslav (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Roberto Conti, Jeong Hee Hong, Wojciech Szymański (2011)
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This mainly expository article is devoted to recent advances in the study of dynamical aspects of the Cuntz algebras 𝓞ₙ, n < ∞, via their automorphisms and, more generally, endomorphisms. A combinatorial description of permutative automorphisms of 𝓞ₙ in terms of labelled, rooted trees is presented. This in turn gives rise to an algebraic characterization of the restricted Weyl group of 𝓞ₙ. It is shown how this group is related to certain classical dynamical systems on the Cantor...
Mijajlović, Žarko (1987)
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Rendiconti del Seminario Matematico della Università di Padova
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Lobachevskii Journal of Mathematics
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For a universal algebra , let End() and Aut() denote, respectively, the endomorphism monoid and the automorphism group of . Let S be a semigroup and let T be a characteristic subsemigroup of S. We say that ϕ ∈ Aut(S) is a lift for ψ ∈ Aut(T) if ϕ|T = ψ. For ψ ∈ Aut(T) we denote by L(ψ) the set of lifts of ψ, that is, Let be an independence algebra of infinite rank and let S be a monoid of monomorphisms such that G = Aut() ≤ S ≤ End(). It is obvious that G is characteristic...