Expansive Automorphisms in Compact Groups.
T.S. Wu (1966)
Mathematica Scandinavica
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T.S. Wu (1966)
Mathematica Scandinavica
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A. Zajtz (1972)
Colloquium Mathematicae
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Hidalgo, Rubén A. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Giovanni Cutolo (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.
Giovanni Cutolo (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Jérémie Rostand (2003)
Studia Mathematica
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Let Ω be the spectral unit ball of Mₙ(ℂ), that is, the set of n × n matrices with spectral radius less than 1. We are interested in classifying the automorphisms of Ω. We know that it is enough to consider the normalized automorphisms of Ω, that is, the automorphisms F satisfying F(0) = 0 and F'(0) = I, where I is the identity map on Mₙ(ℂ). The known normalized automorphisms are conjugations. Is every normalized automorphism a conjugation? We show that locally, in a neighborhood of a...
Ruy Exel (1995)
Mathematica Scandinavica
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J.D. Maitland Wright, Kazuyuki Saito (1984)
Mathematica Scandinavica
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F. S. Cater, A. B. Thaheem (1996)
Rendiconti del Seminario Matematico della Università di Padova
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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...
S.A. Huq (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Fleury, Odile (1997)
Beiträge zur Algebra und Geometrie
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Klaus Schmidt, Tom Ward (1993)
Inventiones mathematicae
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Ian Kiming (1988)
Mathematica Scandinavica
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