排序方式: 共有58条查询结果,搜索用时 15 毫秒
41.
The relationship between the GNS representations associated to states on a quasi ∗-algebra, which are local modifications of each other (in a sense which we will discuss) is examined. The role of local modifications on the spatiality of the corresponding induced derivations describing the dynamics of a given quantum system with infinite degrees of freedom is discussed. 相似文献
42.
Lei LIU 《数学年刊B辑(英文版)》2018,39(5):817-828
Let A be a von Neumann algebra with no central abelian projections. It is proved that if an additive map δ :A → A satisfies δ([[a, b], c]) = [[δ(a), b], c] + [[a, δ(b)], c] +[[a, b], δ(c)] for any a, b, c∈ A with ab = 0(resp. ab = P, where P is a fixed nontrivial projection in A), then there exist an additive derivation d from A into itself and an additive map f :A → ZA vanishing at every second commutator [[a, b], c] with ab = 0(resp.ab = P) such that δ(a) = d(a) + f(a) for any a∈ A. 相似文献
43.
ErikCHRISTENSEN 《数学学报(英文版)》2003,19(3):523-534
Several problems studied by professor R. V. Kadison are shown to be closely related. The problems were originally formulated in the contexts of homomorphisms of C^*-algebras, cohomology of von Neumann algebras and perturbations of C^*-algebras. Recent research by G. Pisier has demonstrated that all of the problems considered are related to the question of whether all C^*-algebras have finite length. 相似文献
44.
Paulo Brumatti Yves Lequain Daniel Levcovitz Aron Simis 《Proceedings of the American Mathematical Society》2002,130(1):15-21
The conjectures of Zariski-Lipman and of Nakai are still open in general in the class of rings essentially of finite type over a field of characteristic zero. However, they have long been known to be true in dimension one. Here we give counterexamples to both conjectures in the class of one-dimensional pseudo-geometric local domains that contain a field of characteristic zero. Likewise, in connection with a recent result of Traves on the Nakai conjecture, we also show that their hypothesis of finite generation of the integral closure cannot be removed even in the class of local domains containing a field of characteristic zero.
45.
Given a von Neumann algebra M with a faithful normal semi-finite trace τ, we consider the non-commutative Arens algebra Lω(M,τ)=?p?1Lp(M,τ) and the related algebras and which are proved to be complete metrizable locally convex *-algebras. The main purpose of the present paper is to prove that any derivation of the algebra is inner and all derivations of the algebras Lω(M,τ) and are spatial and implemented by elements of . In particular we obtain that if the trace τ is finite then any derivation on the non-commutative Arens algebra Lω(M,τ) is inner. 相似文献
46.
James B. Wilson 《代数通讯》2017,45(4):1452-1478
We consider the structure of groups and algebras that can be represented as automorphisms, respectively derivations, of bilinear maps. Representations of that sort arise when we attempt to describe the automorphisms of groups, rings, and algebras that are nilpotent. We introduce exact sequences that capture structure and prove theorems of Morita and Skolem–Noether type. We apply these results to compute automorphisms of groups and rings. 相似文献
47.
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined. 相似文献
48.
49.
Ualbai Umirbaev 《代数通讯》2017,45(7):2809-2820
A structure of a left-symmetric algebra on the set of all derivations of a free algebra is introduced such that its commutator algebra becomes the usual Lie algebra of derivations. Left and right nilpotent elements of left-symmetric algebras of derivations are studied. Simple left-symmetric algebras of derivations and Novikov algebras of derivations are described. It is also proved that the positive part of the left-symmetric algebra of derivations of a free nonassociative symmetric m-ary algebra in one free variable is generated by one derivation and some right nilpotent derivations are described. 相似文献
50.
Byungdo Kim 《数学学报(英文版)》2000,16(1):21-28
Abstract
Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A→A such that [D(x), x]D(x)[D(x),x] ∈ rad(A) for all x∈A. In this case, D(A) ⊆ rad (A).
The author has been supported by Kangnung National University, Research Fund, 1998 相似文献