Results 21 to 30 of about 11,181 (140)
Automorphisms of the UHF algebra that do not extend to the Cuntz algebra
, 2010 Automorphisms of the canonical core UHF-subalgebra F_n of the Cuntz algebra O_n do not necessarily extend to automorphisms of O_n. Simple examples are discussed within the family of infinite tensor products of (inner) automorphisms of the matrix algebras
Cuntz, Evans, Power, ROBERTO CONTI
core +1 more source
On Conjugacy of MASAs and the Outer Automorphism Group of the Cuntz Algebra [PDF]
, 2013 We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of MASAa in O_n. In particular, we exhibit an uncountable family of MASAs, conjugate to the standard MASA D_n via Bogolubov ...
Conti, Roberto +2 more
core +2 more sources
Endomorphisms of the Cuntz Algebras
, 2011 This mainly expository article is devoted to recent advances in the study of dynamical aspects of the Cuntz algebras O_n, with n finite, via their automorphisms and, more generally, endomorphisms.
Conti, Roberto +2 more
core +1 more source
A Brouwer fixed point theorem for graph endomorphisms [PDF]
, 2012 We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T.
Knill, Oliver
core +3 more sources
The automorphisms of endomorphism semigroups of free burnside groups [PDF]
International Journal of Algebra and Computation, 2015 In this paper, we describe the automorphism groups of the endomorphism semigroups of free Burnside groups B(m, n) for odd exponents n ≥ 1003. We prove, that the groups Aut (B(m, n)) and Aut ( End (B(m, n))) are canonically isomorphic. In particular, if the groups Aut ( End (B(m, n))) and Aut ( End (B(k, n))) are isomorphic, then m = k.
openaire +1 more source
A hitchhiker's guide to endomorphisms and automorphisms of Cuntz algebras
Rendiconti di Matematica e delle Sue Applicazioni, 2021 In this survey paper, the authors discuss various aspects of Cuntz algebras, concentrating primarily on endomorphisms and automorphisms. The authors nicely summarize many known results and provide an extensive list of open problems. Chapter 1 is an overview of the paper.
Aiello V., Conti R., Rossi S.
openaire +4 more sources
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Inertial endomorphisms of an abelian group
, 2013 We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|
Dardano, Ulderico, Rinauro, Silvana
core +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Automorphisms and endomorphisms of lacunary hyperbolic groups [PDF]
Groups, Geometry, and Dynamics, 2018 In this article we study automorphisms and endomorphisms of lacunary hyperbolic groups. We prove that every lacunary hyperbolic group is Hopfian, answering a question by Henry Wilton. In addition, we show that if a lacunary hyperbolic group has the fixed point property for actions on ...
Coulon, Rémi, Guirardel, Vincent
openaire +5 more sources