Outer conjugacy classes of automorphisms of factors

Alain Connes

Displaying similar documents to “Outer conjugacy classes of automorphisms of factors”

On the operator equation $α + α^{- 1} = β + β^{- 1}$ .

Thaheem, A.B. (1986)

International Journal of Mathematics and Mathematical Sciences

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On a decomposition of a von Neumann algebra

A. B. Thaheem (1981)

Rendiconti del Seminario Matematico della Università di Padova

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Classification of injective factors: The work of Alain Connes.

Wright, Steve (1983)

International Journal of Mathematics and Mathematical Sciences

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Notes on automorphisms of ultrapowers of II₁ factors

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...