Minimal dynamical systems on the product of the Cantor set and the circle II

Let X be the Cantor set and φ be a minimal homeomorphism on . We show that the crossed product C^*-algebra is a simple A -algebra provided that the associated cocycle takes its values in rotations on . Given two minimal systems and such that φ and ψ arise from cocycles with values in isometric homeomorphisms on , we show that two systems are approximately K-conjugate when they have the same K-theoretical information.     

C-半群的弱稳定性

引入了C-半群的个体弱稳定性和弱稳定性的概念,给出了弱稳定性的一个充分条件.     

The range of approximate unitary equivalence classes of homomorphisms from AH-algebras

Let C be a unital AH-algebra and A be a unital simple C*-algebras with tracial rank zero. It has been shown that two unital monomorphisms \({\phi, \psi: C\to A}\) are approximately unitarily equivalent if and only if

$ [\phi]=[\psi]\quad {\rm in}\quad KL(C,A)\quad {\rm and}\quad \tau\circ \phi=\tau\circ \psi \quad{\rm for\, all}\tau\in T(A),$

where T(A) is the tracial state space of A. In this paper we prove the following: Given \({\kappa\in KL(C,A)}\) with \({\kappa(K_0(C)_+\setminus\{0\})\subset K_0(A)_+\setminus\{0\}}\) and with κ([1 _C ]) = [1 _A ] and a continuous affine map \({\lambda: T(A)\to T_{\mathfrak f}(C)}\) which is compatible with κ, where \({T_{\mathfrak f}(C)}\) is the convex set of all faithful tracial states, there exists a unital monomorphism \({\phi: C\to A}\) such that

$[\phi]=\kappa\quad{\rm and}\quad \tau\circ \phi(c)=\lambda(\tau)(c)$

for all \({c\in C_{s.a.}}\) and \({\tau\in T(A).}\) Denote by \({{\rm Mon}_{au}^e(C,A)}\) the set of approximate unitary equivalence classes of unital monomorphisms. We provide a bijective map

$\Lambda: {\rm Mon}_{au}^e (C,A)\to KLT(C,A)^{++},$

where KLT(C, A)⁺⁺ is the set of compatible pairs of elements in KL(C, A)⁺⁺ and continuous affine maps from T(A) to \({T_{\mathfrak f}(C).}\) Moreover, we found that there are compact metric spaces X, unital simple AF-algebras A and \({\kappa\in KL(C(X), A)}\) with \({\kappa(K_0(C(X))_+\setminus\{0\})\subset K_0(A)_+\setminus\{0\}}\) for which there is no homomorphism h: C(X) → A so that [h] = κ.

     

Heterogeneous chemistry of organic acids on soot surfaces

We have investigated the heterogeneous interaction between a number of carboxylic acids and soot generated from different fuel sources and formation mechanisms. A low-pressure fast flow reactor in conjunction with ion drift-chemical ionization mass spectrometry detection was employed to study uptake of monocarboxylic (benzoic, oleic, and steric) and dicarboxylic (glutaric, maleic, oxalic, and phthalic) acids on deposited soot surfaces formed by combustion of methane, propane, and kerosene. Most acids exhibited irreversible uptake on the soot surfaces and the uptake coefficient was measured in the range of 9 x 10(-4) to 1 x 10(-1) estimated based on the geometric surface areas. Brunauer, Emmett, and Teller surface areas of the deposited soot surfaces were measured and the soot bulk and surface chemical compositions were evaluated with Fourier transform infrared spectroscopy and attenuated total reflection spectroscopy. Plausible uptake mechanisms were discussed on the basis of the measured soot physiochemical properties by comparing the mono and dicarboxylic acids.     

一类无界算子的点谱,连续谱,剩余谱间的关系

证明了在Ｈｉｌｂｅｒｔ空间中拟相似的闭稠定线性算子有相同的点谱、剩余谱、对于拟相似的闭形式亚正规算子还有相同的连续谱。     

卡尔曼滤波ICP－AES法分析稀土元素及其对光谱干扰的校正

本文以卡尔曼（Ｋａｌｍａｎ）滤波ＩＣＰ－ＡＥＳ法进行稀土元素分析，并研究了卡尔曼滤波对其光谱干扰的校正，以及富线基体元素对待测元素、待测元素之间的影响，考察了该方法的检出限、精密度和准确度以及影响滤波的因素。结果表明，该法能有效地消除和校正光谱干扰，减少对分析谱线的选择，改善分析的检出限，分析速度快，结果准确可靠，可适合各种稀土试样（高纯稀土、混合稀土）的日常分析。     

The Rokhlin property and the tracial topological rank

Let A be a unital separable simple C∗-algebra  with TR(A)?1 and α be an automorphism. We show that if α satisfies the tracially cyclic Rokhlin property then . We also show that whenever A has a unique tracial state and α^m is uniformly outer for each m(≠0) and α^r is approximately inner for some r>0, α satisfies the tracial cyclic Rokhlin property. By applying the classification theory of nuclear C∗-algebras, we use the above result to prove a conjecture of Kishimoto: if A is a unital simple -algebra of real rank zero and α∈Aut(A) which is approximately inner and if α satisfies some Rokhlin property, then the crossed product is again an -algebra of real rank zero. As a by-product, we find that one can construct a large class of simple C∗-algebras with tracial rank one (and zero) from crossed products.     

Simple -algebras of real rank zero

Let be a unital simple -algebra with real rank zero. It is shown that if satisfies a so-called fundamental comparison property, then has tracial topological rank zero. Combining some previous results, it is shown that a unital simple -algebra with real rank zero, stable rank one and weakly unperforated must have slow dimension growth.

     

铸造锌-石墨复合材料的摩擦学特性

作者以高铝锌基合金ZA-27为基体,使之与石墨在熔融状态下复合成为均匀浆料,经过挤压铸造成型,得到了几种石墨含量不同的锌-石墨复合材料。微观结构分析结果表明,金属-石墨界面结合状态良好,石墨分布均匀。这种材料在石墨含量低于5％(wt,下同)时的承载能力比青铜ZQSn6-6-3的高。其线膨胀系数随着石墨含量的增加而下降。在本试验条件下,随着石墨含量的增加,复合材料进入稳定磨损阶段所需要的时间缩短,滑动过程的平稳性增大,摩擦表面温度降低,摩擦系数明显下降,磨损率减小;在石墨含量达到6.2％时,锌-石墨复合材料的减摩性。耐磨性和相对抗咬合性都远比基体合金ZA-27的好,表明锌-石墨复合材科是一种新型的具有良好开发应用前景的减摩耐磨材料。     

Heterobimetallic Mn/Co hybrid complexes composed of proximate organometallic and classical coordination sites

A series of highly unsymmetric heterobinuclear Mn/Co complexes is reported, in which an organometallic CpMn(CO)₂ fragment and a classical Werner-type cobalt(II) subunit are arranged in close proximity by means of a bridging pyrazolate. Two ligand scaffolds are employed that differ by the chelate size of the tripodal tetradentate {N4} binding site for cobalt. Molecular structures of three complexes with either nitrate or acetate coligands have been characterized by X-ray crystallography. IR and UV-Vis-spectroelectrochemistry reveals that oxidation of the heterobimetallic systems is highly localized at the organometallic manganese site, while electrochemical reduction occurs at cobalt. Structural and spectroscopic features as well as trends for the redox potentials of the Mn^I/Mn^II couple suggest that changes at the cobalt(II) Werner-type subunit have only minor effects on the properties of the organometallic site.