排序方式: 共有40条查询结果,搜索用时 31 毫秒
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In which a theory of dimension related to the Jonesindex and based on the notion of conjugation is developed. Anelementary proof of the additivity and multiplicativity of thedimension is given and there is an associated trace. Applicationsare given to a class of endomorphisms of factors and to the theoryof subfactors. An important role is played by a notion of amenability inspired by the work of Popa. 相似文献
13.
O. T. Mewomo 《Proceedings Mathematical Sciences》2008,118(4):547-555
Let S be a Rees matrix semigroup. We show that l
1(S) is (2k + 1)-weakly amenable for k ∈ ℤ+. 相似文献
14.
Lewis Bowen 《Proceedings of the American Mathematical Society》2004,132(7):2151-2158
We prove the existence of an automorphism-invariant coupling for the wired and the free uniform spanning forests on connected graphs with residually amenable automorphism groups. 相似文献
15.
In this paper, the concepts of approximate character amenability (contractibility), uniform approximate character amenability (contractibility) and w^*-approximate character amenability are introduced. We are concerned with the relations among the generalized concepts of character amenability for Banach algebras. We show that approximate character amenability, w^*-approximate character amenability and approximate character contractibility are the same properties, as uniform approximate character amenability and character amenability as uniform approximate character contractibility and character contractibility. The general theory for these concepts is also developed. Moreover, approximate character amenability of several concrete classes of Banach algebras related to locally compact groups and also some discrete semigroups is considered. 相似文献
16.
Let C be a small category. Then we consider ℓ
1(C) as the ℓ
1 algebra over the morphisms of C, with convolution product and also consider
as the ℓ
1 algebra over the objects of C, with pointwise multiplication. The main purpose of this paper is to show that approximate amenability of ℓ
1(C) implies of
and clearly this implies that C has only finitely many objects. Some applications are given, the main one is the characterization of approximate amenability
for ℓ
1(S), where S is a Brandt semigroup, which corrects a result of Lashkarizadeh Bami and Samea (Semigroup Forum 71:312–322, 2005). 相似文献
17.
Bounded and completely bounded local derivations from certain commutative semisimple Banach algebras
Ebrahim Samei 《Proceedings of the American Mathematical Society》2005,133(1):229-238
We show that for a locally compact group , every completely bounded local derivation from the Fourier algebra into a symmetric operator -module or the operator dual of an essential -bimodule is a derivation. Moreover, for amenable we show that the result is true for all operator -bimodules. In particular, we derive a new proof to a result of N. Spronk that is always operator weakly amenable.
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Using techniques of non-abelian harmonic analysis, we construct an explicit, non-zero cyclic derivation on the Fourier algebra of the real ax+b group. In particular this provides the first proof that this algebra is not weakly amenable. Using the structure theory of Lie groups, we deduce that the Fourier algebras of connected, semisimple Lie groups also support non-zero, cyclic derivations and are likewise not weakly amenable. Our results complement earlier work of Johnson (1994) [15], Plymen (2001) [18] and Forrest, Samei, and Spronk (2009) [9]. As an additional illustration of our techniques, we construct an explicit, non-zero cyclic derivation on the Fourier algebra of the reduced Heisenberg group, providing the first example of a connected nilpotent group whose Fourier algebra is not weakly amenable. 相似文献
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20.
Ebrahim Samei 《Journal of Functional Analysis》2006,231(1):195-220
We study certain commutative regular semisimple Banach algebras which we call hyper-Tauberian algebras. We first show that they form a subclass of weakly amenable Tauberian algebras. Then we investigate the basic and hereditary properties of them. Moreover, we show that if A is a hyper-Tauberian algebra, then the linear space of bounded derivations from A into any Banach A-bimodule is reflexive. We apply these results to the Figà-Talamanca-Herz algebra Ap(G) of a locally compact group G for p∈(1,∞). We show that Ap(G) is hyper-Tauberian if the principal component of G is abelian. Finally, by considering the quantization of these results, we show that for any locally compact group G, Ap(G), equipped with an appropriate operator space structure, is a quantized hyper-Tauberian algebra. This, in particular, implies that Ap(G) is operator weakly amenable. 相似文献