Results 51 to 60 of about 30,021 (207)
Splitting automorphisms of prime power orders of free Burnside groups
We prove that if the order of a splitting automorphism of free Burnside group~$B(m,n)$ of odd period~$n\ge1003$ is a prime power, then the automorphism is inner.
Atabekyan, Varujan S.
core +1 more source
Locally inner automorphisms of CC-groups
An automorphism \(\phi\) of a group \(G\) is called locally inner if for each finite set \(\{x_ 1,\ldots,x_ n\}\) of elements of \(G\) there exists an element \(g\) of \(G\) such that \(x^ \phi_ i=x^ g_ i\) for each \(i=1,\ldots,n\). The locally inner automorphisms of \(G\) form a subgroup \(Linn(G)\) of the automorphism group \(Aut(G)\) of \(G\).
Javier Otal +2 more
openaire +3 more sources
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Automorphisms of central extensions of type I von Neumann algebras
Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ For type I von Neumann algebras $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary ...
Albeverio, S. +3 more
core +1 more source
Pointwise Inner Automorphisms of Injective Factors
The authors show that for the injective factor of type \(\text{III}_ 1\) with separable predual, an automorphism is pointwise inner if and only if it is the composition of an inner and a modular automorphism.
E. Stormer, Uffe Haagerup
openaire +3 more sources
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies
ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo +3 more
wiley +1 more source
Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle
We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
doaj +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Diagonal automorphisms of the $2$-adic ring $C^*$-algebra
The $2$-adic ring $C^*$-algebra $\mathcal{Q}_2$ naturally contains a copy of the Cuntz algebra $\mathcal{O}_2$ and, a fortiori, also of its diagonal subalgebra $\mathcal{D}_2$ with Cantor spectrum.
Aiello, Valeriano +2 more
core +1 more source
Is every product system concrete?
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source

