Endomorphisms of the Cuntz algebras

Roberto Conti; Jeong Hee Hong; Wojciech Szymański

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Commutative rings over which no endomorphism algebra has an outer automorphism are studied.

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Notes on automorphisms of ultrapowers of II₁ factors

David Sherman (2009)

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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...

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Libor Polák (1982)

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On weak automorphisms of universal algebras

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............................................................................................................................

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J.D. Maitland Wright, Kazuyuki Saito (1984)

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Automorphisms of ${\overset{ˇ}{U}}_{q} (𝔟^{+})$ . (Automorphismes de ${\overset{ˇ}{U}}_{q} (𝔟^{+})$ .)

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Outer Automorphisms of Lie Algebras related with Generic 2×2 Matrices

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2010 Mathematics Subject Classification: 17B01, 17B30, 17B40, 16R30. Let Fm = Fm(var(sl2(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0. Our results are more precise for m = 2 when F2 is isomorphic to the Lie algebra L generated by two generic traceless 2 × 2 matrices. We give a complete description of the group of outer automorphisms of the completion L^ of L with respect to...