Results 21 to 30 of about 11,163 (139)
Labeled Trees and Localized Automorphisms of the Cuntz Algebras [PDF]
, 2008 We initiate a detailed and systematic study of automorphisms of the Cuntz algebras $\O_n$ which preserve both the diagonal and the core $UHF$-subalgebra.
Conti, Roberto, Szymanski, Wojciech
core +1 more source
Lifting endomorphisms to automorphisms [PDF]
, 2007 Normal endomorphisms of von Neumann algebras need not be extendable to automorphisms of a larger von Neumann algebra, but they always have asymptotic lifts.
Arveson, William, Courtney, Dennis
core +2 more sources
The action of outer automorphisms on bundles of chiral blocks [PDF]
, 1998 On the bundles of WZW chiral blocks over the moduli space of a punctured rational curve we construct isomorphisms that implement the action of outer automorphisms of the underlying affine Lie algebra.
Fuchs, J., Schweigert, C.
core +5 more sources
An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]
, 2011 The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core +4 more sources
On Invariant MASAs for Endomorphisms of the Cuntz Algebras [PDF]
, 2010 The problem of existence of standard (i.e. product-type) invariant MASAs for endomorphisms of the Cuntz algebra O_n is studied. In particular endomorphisms which preserve the canonical diagonal MASA D_n are investigated.
Hong, Jeong Hee +2 more
core +1 more source
A look at the inner structure of the 2-adic ring C*-algebra and its automorphism groups [PDF]
, 2017 We undertake a systematic study of the so-called 2-adic ring C\u87-algebra Q2. This is the universal C\u87-algebra generated by a unitary U and an isometry S2 such that S2U = U2S2 and S2S\u87 2+US2S\u87 2U\u87 = 1.
Aiello, Valeriano +2 more
core +2 more sources
On algebraic endomorphisms of the Einstein gyrogroup [PDF]
, 2015 We describe the structure of all continuous algebraic endomorphisms of the open unit ball $\mathbf{B}$ of $\mathbb{R}^3$ equipped with the Einstein velocity addition.
Abe T. +5 more
core +2 more sources
Fixed subgroups are compressed in surface groups [PDF]
, 2015 For a compact surface $\Sigma$ (orientable or not, and with boundary or not) we show that the fixed subgroup, $\operatorname{Fix} B$, of any family $B$ of endomorphisms of $\pi_1(\Sigma)$ is compressed in $\pi_1(\Sigma)$ i.e., $\operatorname{rk ...
Enric Ventura +6 more
core +3 more sources
On Automorphisms and Endomorphisms of Projective Varieties [PDF]
, 2014 We first show that any connected algebraic group over a perfect field is the neutral component of the automorphism group scheme of some normal projective variety. Then we show that very few connected algebraic semigroups can be realized as endomorphisms of some projective variety X, by describing the structure of all connected subsemigroup schemes of ...
openaire +2 more sources
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