منابع مشابه
Dilations for $C^ast$-dynamical systems with abelian groups on Hilbert $C^ast$-modules
In this paper we investigate the dilations of completely positive definite representations of (C^ast)-dynamical systems with abelian groups on Hilbert (C^ast)-modules. We show that if ((mathcal{A}, G,alpha)) is a (C^ast)-dynamical system with (G) an abelian group, then every completely positive definite covariant representation ((pi,varphi,E)) of ((mathcal{A}, G,alpha)) on a Hilbert ...
متن کاملnon-divisibility for abelian groups
Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...
متن کاملGrothendieck rings of o-minimal expansions of ordered abelian groups
We will calculate completely the Grothendieck rings, in the sense of first order logic, of o-minimal expansions of ordered abelian groups by introducing the notion of the bounded Euler characteristic.
متن کاملMinimal Pseudocompact Group Topologies on Free Abelian Groups
A Hausdorff topological group G is minimal if every continuous isomorphism f : G → H between G and a Hausdorff topological group H is open. Significantly strengthening a 1981 result of Stoyanov we prove the following theorem: For every infinite minimal group G there exists a sequence {σn : n ∈ N} of cardinals such that w(G) = sup{σn : n ∈ N} and sup{2 σn : n ∈ N} ≤ |G| ≤ 2, where w(G) is the we...
متن کاملTopology of Definable Abelian Groups in O-minimal Structures
In this note we prove that every definably connected, definably compact abelian definable group G in an o-minimal expansion of a real closed field with dim(G) 6= 4 is definably homeomorphic to a torus of the same dimension. Moreover, in the semialgebraic case the result holds for all dimensions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2001
ISSN: 0168-0072
DOI: 10.1016/s0168-0072(00)00059-2