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1.
设(G,G )为一个拟格序群,H为G 的一个可传、定向子集.记GH=G .H-1, 令TGH为相应的Toeplitz算子代数.利用G 的等距协变表示刻画了(G,GH)的顺从性。当 G=G .G -1时,证明了(G,GH)为顺从当且仅当G为顺从. 相似文献
2.
离散群上的Toeplitz算子 总被引:3,自引:0,他引:3
本文通过在一般的离散群上引进有限提升集、全有限提升集,在广泛的情形下,刻划了广义Hardy空间上Toeplitz算子的一些性质 相似文献
3.
设G为一个离散群,(G,G_ )为一个拟偏序群使得G_ ~0=G_ ∩G_ ~(-1)为G的非平凡子群。令[G]为G关于G_ ~0的左倍集全体,|G_ |为[G]的正部。记T~(G_ )和T~([G_ ])为相应的Toeplitz代数。当存在一个从G到G_ ~0上的形变收缩映照时,我们证明了T~(G_ )酉同构于T~([G_ ])×C_r~*(G_ ~0)的一个C_-~*c子代数。若进一步,G_ ~0还为G的一个正规子群,则T~(G_ )与T~([G_ ])×C_r~*(G_ ~0)酉同构。 相似文献
4.
本文计算了Hardy空间上符号在H∞或C以及H∞+C中的Toenlitz代数的上同调群.其结果说明,C*-代数的上同调群比VonNeumann代数的上同调群复杂. 相似文献
5.
广泛的意义下定义 Toeplitz 算子, 给出了Toeplitz 算子乘积仍为Toeplitz 算子的充分必要条件, Toeplitz算子是正规算子的充分必要条件以及 Toeplitz 算子可交换的一个必要条件,从而推广了经典 Toeplitz 算子的相应结果. 相似文献
6.
Sriwulan ADJI Rizky ROSJANUARDI 《数学学报(英文版)》2007,23(9):1639-1648
Let г^+ be the positive cone of a totally ordered abelian group г, and σa cocycle in г. We study the twisted crossed products by actions of г+ as endomorphisms of C^*-algebras, and use this to generalize the theorem of Ji. 相似文献
7.
§ 1.Introduction LetBnbetheunitballinCn,anddvthenormalizedLebesguemeasureonBn.SobolevspaceL2 ,1isthespaceoffunctionsu :Bn→C ,forwhichthenorm‖u‖1/ 2 =∑ni=1 ∫Bn u zi(z) 2 + u zi(z) 2 dν1/ 2 <∞ .L2 ,1/ 2 isaHilbertspacewiththeinnerproduct〈u ,v〉1/ 2 =∑ni=1〈 u zi, u zi〉L2 (dν) +∑ni=1〈 u zi, u … 相似文献
8.
We investigate the ideal structure of the Toeplitz algebra
of a totally ordered abelian group
. We show that the primitive ideals of
are parametrised by the disjoint union
of the duals
of the order ideals
of
, and identify the
hull-kernel topology on
when the chain of orderideals in
is isomorphic to a subset of
相似文献
9.
We show that for every natural number m a finitely generatedmetabelian group G embeds in a quotient of a metabelian groupof type FPm. Furthermore, if m 4, the group G can be embeddedin a metabelian group of type FPm. For L a finitely generatedmetabelian Lie algebra over a field K and a natural number mwe show that, provided the characteristic p of K is 0 or p >m, then L can be embedded in a metabelian Lie algebra of typeFPm. This result is the best possible as for 0 < p m everymetabelian Lie algebra over K of type FPm is finite dimensionalas a vector space. 相似文献
10.
In the present paper the properties of morphisms in effect algebras are discussed. The conditions for the morphisms in effect algebras to be join-preservation and meet-preservation are given. From the categorical point of view, some properties of ideals, filters and congruence relations under morphisms are obtained. 相似文献
11.
For a morphism of quadratic extensions of antistructures, groups similar to the groups of obstructions to splitting along one-sided submanifolds are defined. These groups are a natural generalization of the splitting obstruction groups. The results obtained open additional possibilities for constructing groups and natural maps in L-theory. 相似文献
12.
Maria Manuel Clementino Dirk Hofmann Andrea Montoli 《Applied Categorical Structures》2014,22(5-6):767-788
In this paper we use Janelidze’s approach to the classical theory of topological coverings via categorical Galois theory to study coverings in categories of relational algebras. Moreover, we present characterizations of effective descent morphisms in the categories of M-ordered sets and of multi-ordered sets. 相似文献
13.
14.
15.
In this paper we investigate effective descent morphisms in categories of reflexive and transitive lax algebras. We show in particular that open and proper maps are of effective descent, result that extends the corresponding results for the category of topological spaces and continuous maps. 相似文献
16.
For a smashing localisation L of the derived category of a differential graded (dg) algebra A we construct a dg algebra A
L
and a morphism of dg algebras A→A
L
that induces the canonical map in cohomology. As a first application we obtain a localisations of a dg algebra A with graded commutative homology at a prime ideal in the homology H
*
A, namely a morphism of dg algebras. As a second application we can use results of Keller to “model” every smashing localisation of compactly
generated algebraic triangulated categories by a morphism of dg algebras.
相似文献
17.
We describe the irreducible morphisms in the category of modules over a repetitive algebra. We find three special canonical forms: The first canonical form happens when all the component morphisms are split monomorphisms, the second when all the component morphisms are split epimorphisms and the third when there is exactly one irreducible component map. Also, we obtain the same result for the irreducible homomorphisms in the stable category of modules over a repetitive algebra. 相似文献
18.
19.
Discrete Koszul algebra, another extension of Koszul algebras, is introduced in this paper. The Yoneda algebra of a discrete Koszul algebra is investigated
in detail. As an application, we give an answer to a question proposed by Green and Marcos (Commun Algebra 33:1753–1764, 2005). In particular, the relationship between discrete Koszul algebras and Koszul algebras is established. Further, we construct
new discrete Koszul algebras from the given ones in terms of one-point extension. 相似文献
20.
We introduce a class of function algebras, that we call unimodular,
and study Toeplitz operators on the Hardy spaces associated to representing
measures on these algebras.We show that our class of function algebras is very
extensive and that a number of important results for Toeplitz operators and
their associated C*-algebras extend to the very general setting we consider.
Submitted: July 1. 2001. 相似文献