k网与Michael的两个问题

本文通过１９７３年Ｍｉｃｈａｅｌ提出的关于乘积空间的ｋ空间性质问题及１９７３年Ｍｉｃｈａｅｌ和Ｎａｇａｍｉ提出的关于度量空间的紧覆盖商ｓ象问题的进展来说明ｋ网是研究广义度量空间的有效工具。     

sp3sTight-binding parameters for transport simulations in compound semiconductors

A genetic algorithm approach is used to fit orbital interaction energies of sp3s* tight-binding models for the nine binary compound semiconductors consistent of Ga, Al, In and As, P, Sb at room temperature. The new parameters are optimized to reproduce the bandstructure relevant to carrier transport in the lowest conduction band and the highest three valence bands. The accuracy of the other bands is sacrificed for the better reproduction of the effective masses in the bands of interest. Relevant band edges are reproduced to within a few meV and the effective masses deviate from the experimental values typically by less than 10%.     

Eine kettenförmige η5-Cp*Bi-Verbindung mit 11fach koordiniertem Bismut

A Chain-like η⁵-Cp*Bi Compound with Bismuth elevenfold coordinated The reaction of (Cp*Al)₄ with BiI₃ in toluene at room temperature affords red crystals of the new compound (η⁵-CpAl)(η⁵-Cp*Bi)(μ-AlI₄)(AlI₄)₂ · 2 C₇H₈. The solid state structure exhibits a chain-like arrangement of Cp*Bi units that are bridged by tetraiodoaluminate ions. These structural features are compared with some arene complexes of the heavy group 14 elements (tin, lead).     

Continuous fields of C*-algebras over finite dimensional spaces

Let X be a finite dimensional compact metrizable space. We study a technique which employs semiprojectivity as a tool to produce approximations of C(X)-algebras by C(X)-subalgebras with controlled complexity. The following applications are given. All unital separable continuous fields of C*-algebras over X with fibers isomorphic to a fixed Cuntz algebra On, n∈{2,3,…,∞}, are locally trivial. They are trivial if n=2 or n=∞. For n?3 finite, such a field is trivial if and only if (n−1)[A₁]=0 in K₀(A), where A is the C*-algebra of continuous sections of the field. We give a complete list of the Kirchberg algebras D satisfying the UCT and having finitely generated K-theory groups for which every unital separable continuous field over X with fibers isomorphic to D is automatically locally trivial or trivial. In a more general context, we show that a separable unital continuous field over X with fibers isomorphic to a KK-semiprojective Kirchberg C*-algebra is trivial if and only if it satisfies a K-theoretical Fell type condition.     

Roots of C*-algebra elements under numerical range condition

Let be a C*-algebra with unit 1. For each a ∈ , the C*-algebra numerical range is defined by V(a) = {φ(a): φ ∈ , φ ≥ 0,φ(1) = 1}. In a 2003 paper Li, Rodman and Spitkovsky have found the ω-th roots of elements in C*-algebra under a numerical range condition, when ω ∈ [1,∞). In this paper, we will give a short proof of the above result in the case of ω is a positive integer number. We also give a simple proof for ω-th root of an element a ∈ , when ω ∈ [1,∞) and V(a)∩ {z ∈ ℂ: z ≤ 0} = . The first author was supported by the Shiraz university Research Council Grant No. 86-GRSC-32.     

Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property

The authors prove that the crossed product of an infinite dimensional simple separable unital C＊-algebra with stable rank one by an action of a finite group with the tracial Rokhlin property has again stable rank one. It is also proved that the crossed product of an infinite dimensional simple separable unital C＊-algebra with real rank zero by an action of a finite group with the tracial Rokhlin property has again real rank zero.     

Hilbert W*-模上的广义框架

本文给出了Hilbert W*-模上的标准广义框架的不相交,强不相交,弱不相交的定义,还给出了Hilbert W*-模上的广义框架的不相交,强不相交,弱不相交成立的条件,并且用算子理论的方法研究了它们的性质.     

P*(κ)阵线性互补问题一种新的宽邻域预估-校正内点算法

基于邻近度量函数的最小值,对P*(κ)阵线性互补问题提出了一种新的宽邻域预估-校正算法,在较一般的条件下,证明了算法的迭代复杂性为O(κ+1)23n log(x0ε)Ts0.算法既可视为Miao的P*(κ)阵线性互补问题Mizuno-Todd-Ye预估-校正内点算法的一种变形,也可以视为最近Zhao提出的线性规划基于邻近度量函数最小值的宽邻域内点算法的推广.     

关于完全C~*置换子群

设H≤G,称H为G的完全C*置换子群,如果对G的任意素数幂阶子群K,恒有x∈〈H,K〉,使得HKx=KxH.本文利用素数幂阶子群的完全C*置换性给出了一个群属于给定群系的的若干充要条件.