Sheaves of C*-algebras

We develop the basics of a theory of sheaves of C*-algebras and, in particular, compare it to the existing theory of C*-bundles. The details of two fundamental examples, the local multiplier sheaf and the injective envelope sheaf, are discussed.

Stable isomorphism of dual operator spaces

We prove that two dual operator spaces $X$ and $Y$ are stably isomorphic if and only if there exist completely isometric normal representations $phi$ and $psi$ of $X$ and $Y$, respectively, and ternary rings of operators $M_1, M_2$ such that $phi (X)= [M_2^*psi (Y)M_1]^{-w^*}$ and $psi (Y)=[M_2phi (X)M_1^*].$ We prove that this is equivalent to certain canonical dual operator algebras associated with the operator spaces being stably isomorphic. We apply these operator space results to prove that certain dual operator algebras are stably isomorphic if and only if they are isomorphic. We provide examples motivated by CSL algebra theory.

Amenability of algebras of approximable operators

We give a necessary and sufficient condition for amenability of the Banach algebra of approximable operators on a Banach space. We further investigate the relationship between amenability of this algebra and factorization of operators, strengthening known results and developing new techniques to determine whether or not a given Banach space carries an amenable algebra of approximable operators. Using these techniques, we are able to show, among other things, the non-amenability of the algebra of approximable operators on Tsirelson’s space.

Pyrimidine and pyrazine as N-donor ligands in mercurous complexes: [Hg-2(Pym)]NO3)(2), [Hg-2(Pym)](ClO4)(2), and [Hg-2(Pyp)(2)](ClO4)(2)

Colourless single crystals of [Hg-2(Pym)](NO3)(2), [Hg-2(Pym)](ClO4)(2) and [Hg-2(Pyp)(2)](ClO4)(2) were obtained from aqueous solutions of the respective components Hg-2(NO3)(2).2H(2)O, Hg-2(ClO4)(2).6H(2)O, pyrimidine (Pym) and pyrazine (Pyp). The crystal structures were determined from single-crystal X-ray diffractometer data. [Hg-2(Pym)](NO3)(2): monoclinic, C2/c, Z = 8, a = 1607.4(2), b = 652.79(7), c = 2000.5(2) pm, beta = 103.42(2)degrees, R-all = 0.0530; [Hg-2(Pym)](ClO4)(2): orthorhombic, Pnma, Z = 4, a = 1182.7(2), b = 1662.5(2), c = 607.9(1) pm, R-all = 0.0438; [Hg-2(Pyp)(2)](ClO4)(2): orthorhombic, Aba2, Z = 4, a = 1529.39(9), b = 1047.10(14), c = 1133.49(15) pm, R-all = 0.0381. The crystal structures of [Hg-2(Pym)](NO3)(2) and [Hg-2(Pym)](ClO4)(2) contain polymeric cationic chains [Hg-2(Pym)](+) that are arranged to corrugated layers between which the anions are situated. [Hg-2(Pyp)(2)](ClO4)(2) consists of polymeric cationic layers that are built from (Hg-2)(2)(Hg-2)(2/2)(Pyp)(4) rings connected to each other; the perchlorate tetrahedra are located between these layers.

Rho kinase and protein kinase C involvement in vascular smooth muscle myofilament calcium sensitization in arteries from diabetic rats.

BACKGROUND AND PURPOSE: Diabetes mellitus (DM) causes multiple dysfunctions including circulatory disorders such as cardiomyopathy, angiopathy, atherosclerosis and arterial hypertension. Rho kinase (ROCK) and protein kinase C (PKC) regulate vascular smooth muscle (VSM) Ca(2+) sensitivity, thus enhancing VSM contraction, and up-regulation of both enzymes in DM is well known. We postulated that in DM, Ca(2+) sensitization occurs in diabetic arteries due to increased ROCK and/or PKC activity. EXPERIMENTAL APPROACH: Rats were rendered hyperglycaemic by i.p. injection of streptozotocin. Age-matched control tissues were used for comparison. Contractile responses to phenylephrine (Phe) and different Ca(2+) concentrations were recorded, respectively, from intact and chemically permeabilized vascular rings from aorta, tail and mesenteric arteries. KEY RESULTS: Diabetic tail and mesenteric arteries demonstrated markedly enhanced sensitivity to Phe while these changes were not observed in aorta. The ROCK inhibitor HA1077, but not the PKC inhibitor chelerythrine, caused significant reduction in sensitivity to agonist in diabetic vessels. Similar changes were observed for myofilament Ca(2+) sensitivity, which was again enhanced in DM in tail and mesenteric arteries, but not in aorta, and could be reduced by both the ROCK and PKC blockers. CONCLUSIONS AND IMPLICATIONS: We conclude that in DM enhanced myofilament Ca(2+) sensitivity is mainly manifested in muscular-type blood vessels and thus likely to contribute to the development of hypertension. Both PKC and, in particular, ROCK are involved in this phenomenon. This highlights their potential usefulness as drug targets in the pharmacological management of DM-associated vascular dysfunction.

Study of the transamidative ring expansion of N--halogenoalkyl--lactams of alkyl chain lengths 2–12 in liquid ammonia and other liquid amines: syntheses of 7-, 8- and 9-membered 1,5-diaza cyclic ketones, including routes to (±)-dihydroperiphylline and (±)-celabenzine

N-(3-Halogenopropyl)-4-phenylazetidin-2-ones undergo amination in liquid ammonia followed by transamidative ring expansion to give the eight-membered 4-phenyl -1,5-diazacyclooctan-2-one in excellent yield. Ring expansion of the amines in liquid ammonia is found to be much more effective than in hydrocarbon solvents. Formation of 7-, 8-, and 9-membered azalactams from the requisite -halogenoalkyl--lactams is an excellent synthetic process, though it is not applicable to 10membered rings. In the cases of rings of 13-, 15- and 17-members, although amination and apparent expansion takes place, the large rings appear not to be stable to ammonia and the final products are acyclic amides. N-[4-Halogenobut-2(Z)-enyl]-4-phenylazetidin-2-one satisfactorily forms a 9-membered (Z)-olefinic azalactam, but the (E)-isomer gives an acyclic amino amide. By using alkyl-substituted -lactam side-chains, C-substituted medium rings can be obtained; the relative instability of N-acyl -lactams to ammonia, however, leads to acylamino amides rather than expanded rings.Employing ethylamine in place of ammonia, it is shown that N-ethylated azalactams are formed satisfactorily, and using allylamine, N-allyl medium rings capable of further elaboration are obtained. The chemistry of these systems is discussed. Using transamidation in liquid ammonia, a short synthesis of the 9-membered spermidine alkaloid (±)-dihydroperiphylline is reported. Synthesis of key intermediates, whose transformation into the 13-membered alkaloids of the celabenzine group has already been effected, has been carried out.X-Ray single-crystal structure determinations for 4-phenyl-1,5-diazacyclononan-2-one, trans-4-phenyl-8-methyl-1,5-diazacyclooctan-2-one and (Z)-4-phenyl-1,5-diazacyclonon-7-en-2-one are reported, and comment is made on certain conformational features.

Alasdair MacIntyre and the Hope for a Politics of Virtuous Interdependence

Rebellion, philosophic and political, impels the work of Alasdair MacIntyre. Neither of the left nor the right, he treads a borderline path between conservatism and radicalism in holding to a socialist Thomistic Aristotelianism underpinned by a deliberative ‘ethic of care’ that is implacably opposed to modernity and the advanced capitalist nation-state. The depth of this opposition arouses strong opinions in friend and foe alike. To some he is an eminently dispensable reactionary whose sole consistent feature is an inexplicable ‘hatred of liberal individualism’ (Lessnoff 1999: 4). To others he appears a revolutionary enunciating a departure capable of legitimating the activities of ordinary persons so ‘that previously isolated struggles might be transformed into a new class war of attrition’ (Knight 1996: 896). However, neither interpretation rings true. MacIntyre does develop a cogent critique of the present, but this critique points in directions towards which no politics could hope to move.

Advances in microbicide vaginal rings

Vaginal ring devices capable of providing sustained/controlled release of incorporated actives are already marketed for steroidal contraception and estrogen replacement therapy. In recent years, there has been considerable interest in developing similar ring devices for the administration of microbicidal compounds to prevent vaginal HIV transmission. Intended to be worn continuously, such coitally independent micro- bicide rings are being developed to maintain effective vaginal microbicide concentrations over many weeks or months, thereby overcoming issues around timing of product application, user compliance and acceptability associated with more conventional semi-solid formulations. In this article, an overview of vaginal ring technologies is presented, followed by a review of recent advances and issues pertaining to their application for the delivery of HIV microbicides. This article forms part of a special supplement on presentations covering intravaginal rings, based on the symposium “Trends in Microbicide Formulations”, held on 25 and 26 January 2010, Arlington, VA.

Thermodynamic properties and atomistic structure of the dry amorphous silica surface from a reactive force field model

A force field model of the Keating type supplemented by rules to break, form, and interchange bonds is applied to investigate thermodynamic and structural properties of the amorphous SiO2 surface. A simulated quench from the liquid phase has been carried out for a silica sample made of 3888 silicon and 7776 oxygen atoms arranged on a slab similar to 40 angstrom thick, periodically repeated along two directions. The quench results into an amorphous sample, exposing two parallel square surfaces of similar to 42 nm(2) area each. Thermal averages computed during the quench allow us to determine the surface thermodynamic properties as a function of temperature. The surface tension turns out to be gamma=310 +/- 20 erg/cm(2) at room temperature and gamma=270 +/- 30 at T=2000 K, in fair agreement with available experimental estimates. The entropy contribution Ts-s to the surface tension is relatively low at all temperatures, representing at most similar to 20% of the surface energy. Almost without exceptions, Si atoms are fourfold coordinated and oxygen atoms are twofold coordinated. Twofold and threefold rings appear only at low concentration and are preferentially found in proximity of the surface. Above the glass temperature T-g=1660 +/- 50 K, the mobility of surface atoms is, as expected, slightly higher than that of bulk atoms. The computation of the height-height correlation function shows that the silica surface is rough in the equilibrium and undercooled liquid phase, becoming smooth below the glass temperature T-g.