Weak automorphisms of 1-unary algebras
Libor Polák (1982)
Banach Center Publications
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Libor Polák (1982)
Banach Center Publications
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R. James
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CONTENTSIntroduction.................................................................................................................... 5Section 1. The group of weak automorphisms...................................................... 6Section 2. Weak automorphisms of finitely generated free algebras................ 9Section 3. Representation of groups as weak automorphism groups ofalgebras............................................................................................................................
J. Dudek, E. Płonka (1971)
Colloquium Mathematicae
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Ernest Płonka (1971)
Colloquium Mathematicae
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F. S. Cater, A. B. Thaheem (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Fuhrken, G. (1973)
Portugaliae mathematica
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Mijajlović, Žarko (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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David Sherman (2009)
Studia Mathematica
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In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II₁ factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is ℵ₀-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a separable nuclear C*-algebra into an ultrapower of a II₁ factor, equality of the induced traces...
Kures̆, Miroslav (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Kazimierz Głazek (1971)
Colloquium Mathematicae
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K. Głazek (1970)
Colloquium Mathematicae
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Roberto Conti, Jeong Hee Hong, Wojciech Szymański (2011)
Banach Center Publications
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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...
Warren May (2006)
Colloquium Mathematicae
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Commutative rings over which no endomorphism algebra has an outer automorphism are studied.