Results 51 to 60 of about 30,476 (209)
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
On Inner Automorphisms of Finite Groups [PDF]
It is shown that in certain classes of finite groups, inner automorphisms are characterized by an extension property and also by a dual lifting property. This is a consequence of the fact that for any finite group G G and any prime p p , there is a p p -group P P and a semidirect ...
openaire +1 more source
Counting Independent Sets in Percolated Graphs via the Ising Model
ABSTRACT Given a graph G$$ G $$, we form a random subgraph Gp$$ {G}_p $$ by including each edge of G$$ G $$ independently with probability p$$ p $$. We provide an asymptotic expansion of the expected number of independent sets in random subgraphs of regular bipartite graphs satisfying certain vertex‐isoperimetric properties, extending the work of ...
Anna Geisler +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
Hopf actions and Nakayama automorphisms
Let H be a Hopf algebra with antipode S, and let A be an N-Koszul Artin-Schelter regular algebra. We study connections between the Nakayama automorphism of A and S^2 of H when H coacts on A inner-faithfully.
Chan, Kenneth +2 more
core +1 more source
Commutativity of automorphisms of subfactors modulo inner automorphisms [PDF]
We introduce a new algebraic invariant χ a ( M , N ) \chi _{a}(M,N) of a subfactor N ⊂ M N \subset M . We show that this is an abelian group and that if the subfactor is strongly amenable, then the group ...
openaire +1 more source
On contact 3‐manifolds that admit a nonfree toric action
Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley +1 more source
X-Inner Automorphisms of Filtered Algebras. II [PDF]
We continue earlier work and compute the X X -inner automorphisms of the ring of differential polynomials in one variable over an arbitrary domain. This is then applied to iterated Ore extensions. We also show that the ring of generic matrices has no nonidentity automorphisms which fix the center.
openaire +2 more sources
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
We prove that every bilocal automorphism of a matrix algebra is either an inner automorphism, or an inner anti-automorphism, or it is of a very special degenerate form.
Molnár, Lajos
core

