Preparticipation physical evaluation: An opportunity for Malawian athletes

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A planar calculus for infinite index subfactors

We develop an analog of Jones' planar calculus for II_1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.Comment: 56 pages, many figure

Fourier Duality as a Quantization Principle

The Weyl-Wigner prescription for quantization on Euclidean phase spaces makes essential use of Fourier duality. The extension of this property to more general phase spaces requires the use of Kac algebras, which provide the necessary background for the implementation of Fourier duality on general locally compact groups. Kac algebras -- and the duality they incorporate -- are consequently examined as candidates for a general quantization framework extending the usual formalism. Using as a test case the simplest non-trivial phase space, the half-plane, it is shown how the structures present in the complete-plane case must be modified. Traces, for example, must be replaced by their noncommutative generalizations - weights - and the correspondence embodied in the Weyl-Wigner formalism is no more complete. Provided the underlying algebraic structure is suitably adapted to each case, Fourier duality is shown to be indeed a very powerful guide to the quantization of general physical systems.Comment: LaTeX 2.09 with NFSS or AMSLaTeX 1.1. 97Kb, 43 pages, no figures. requires subeqnarray.sty, amssymb.sty, amsfonts.sty. Final version with (few) text and (crucial) typos correction

The Impact of Refugee camps on Host communities, a case of Nyarugusu village

The presence of refugees tends to change the lives of the local population in hosting communities. This study was carried out to determine the impacts of refugee camps on host community. It was geared specifically to determine both positive and negative impacts of refugee camps to local people in Nyarugusu Village after refugees’ influx. The study was conducted in Nyarugusu Village where Nyarugusu refugee camp is located. Data was collected from individuals in the host area. Other respondents included village executive officers and ten cell leaders. Secondary data that was used were materials from government reports, research reports, books and journals from University of Dar es Salaam library. The study revealed that opportunities available in the host communities changed in both positive and negative ways in agriculture, environment, market economy, and infrastructure and in the context of social services. On the positive side, refugees were sources of cheap agricultural labour for villagers in the study area; refugee labour was attractive to local farmers because it was cheap and readily available hence increased production of food crops, better health services due to establishment of better equipped refugee hospitals that offer a free service to Tanzanians. Despite the benefits of refugee labour, many villagers blamed refugees as source of theft, particularly of food crops, internal peace and security has been affected by increase in serious criminal activities, and conflicts. On environmental perspective, refugees affected environment due to firewood and charcoal uses. The study findings can be used by a wide range of stakeholders and the government of Tanzania to create refugees’ policies. Keywords: Refugee, Refugee Camps, Host community, Nyarugusu village

The distribution of geodesic excursions into the neighborhood of a cone singularity on a hyperbolic 2-orbifold

A generic geodesic on a finite area, hyperbolic 2-orbifold exhibits an infinite sequence of penetrations into a neighborhood of a cone singularity, so that the sequence of depths of maximal penetration has a limiting distribution. The distribution function is the same for all such surfaces and is described by a fairly simple formula.Comment: 20 page

Twisting and Rieffel's deformation of locally compact quantum groups. Deformation of the Haar measure

We develop the twisting construction for locally compact quantum groups. A new feature, in contrast to the previous work of M. Enock and the second author, is a non-trivial deformation of the Haar measure. Then we construct Rieffel's deformation of locally compact quantum groups and show that it is dual to the twisting. This allows to give new interesting concrete examples of locally compact quantum groups, in particular, deformations of the classical $az+b$ group and of the Woronowicz' quantum $az+b$ group

Module homomorphisms and multipliers on locally compact quantum groups

For a Banach algebra $A$ with a bounded approximate identity, we investigate the $A$-module homomorphisms of certain introverted subspaces of $A^*$, and show that all $A$-module homomorphisms of $A^*$ are normal if and only if $A$ is an ideal of $A^{**}$. We obtain some characterizations of compactness and discreteness for a locally compact quantum group \G. Furthermore, in the co-amenable case we prove that the multiplier algebra of \LL can be identified with \MG. As a consequence, we prove that \G is compact if and only if \LUC={\rm WAP}(\G) and \MG\cong\mathcal{Z}({\rm LUC}(\G)^*); which partially answer a problem raised by Volker Runde.Comment: The detailed proof of Lemma 4.1 is added in addendum. 11 pages, To appear in J. Math. Anal. App

Projective Fourier Duality and Weyl Quantization

The Weyl-Wigner correspondence prescription, which makes large use of Fourier duality, is reexamined from the point of view of Kac algebras, the most general background for noncommutative Fourier analysis allowing for that property. It is shown how the standard Kac structure has to be extended in order to accommodate the physical requirements. An Abelian and a symmetric projective Kac algebras are shown to provide, in close parallel to the standard case, a new dual framework and a well-defined notion of projective Fourier duality for the group of translations on the plane. The Weyl formula arises naturally as an irreducible component of the duality mapping between these projective algebras.Comment: LaTeX 2.09 with NFSS or AMSLaTeX 1.1. 102Kb, 44 pages, no figures. requires subeqnarray.sty, amssymb.sty, amsfonts.sty. Final version with text improvements and crucial typos correction