Semi-automorphisms of transformation semigroups
Robert P. Sullivan (1983)
Czechoslovak Mathematical Journal
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Robert P. Sullivan (1983)
Czechoslovak Mathematical Journal
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Richard Byrd, Justin Lloyd, Franklin Pederson, James Stepp (1984)
Fundamenta Mathematicae
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Marek Karaś (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let d₃ ≥ p₂ > p₁ ≥ 3 be integers such that p₁,p₂ are prime numbers. We show that the sequence (p₁,p₂,d₃) is the multidegree of some tame automorphism of ℂ³ if and only if d₃ ∈ p₁ℕ + p₂ℕ, i.e. if and only if d₃ is a linear combination of p₁ and p₂ with coefficients in ℕ.
Piontkowski, J., Van de Ven, A. (1999)
Documenta Mathematica
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Cortés, Vicente (1997)
General Mathematics
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Willibald Dörfler (1978)
Mathematica Slovaca
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A. G. Fadell, K. D. Magill, Jr. (1969)
Compositio Mathematica
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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...