Displaying similar documents to “Automorphisms and pseudo-automorphisms of extra algebras”

On weak automorphisms of universal algebras

R. James

Similarity:

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

Endomorphisms of the Cuntz algebras

Roberto Conti, Jeong Hee Hong, Wojciech Szymański (2011)

Banach Center Publications

Similarity:

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...

A note on central automorphisms of groups

Giovanni Cutolo (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.

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

Fındık, Şehmus (2012)

Serdica Mathematical Journal

Similarity:

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...

Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras

Fιndιk, Şehmus (2010)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: 17B01, 17B30, 17B40. Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c). ...

Notes on automorphisms of ultrapowers of II₁ factors

David Sherman (2009)

Studia Mathematica

Similarity:

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...