On maximal subgroups of the multiplicative group of a division algebra

This note studies the question whether a multiplicative group of a division ring has a maximal subgroup. It is published in J. Algebra. This is a reputable journal in the subject algebra. Most of submitted papers from 5* schools in RAE was in this journal.

On the derived category of a regular toric scheme

Let X be a quasi-compact scheme, equipped with an open covering by affine schemes U s = Spec A s . A quasi-coherent sheaf on X gives rise, by taking sections over the U s , to a diagram of modules over the coordinate rings A s , indexed by the intersection poset S of the covering. If X is a regular toric scheme over an arbitrary commutative ring, we prove that the unbounded derived category of quasi-coherent sheaves on X can be obtained from a category of Sop-diagrams of chain complexes of modules by inverting maps which induce homology isomorphisms on hyper-derived inverse limits. Moreover, we show that there is a finite set of weak generators, one for each cone in the fan S. The approach taken uses the machinery of Bousfield–Hirschhorn colocalisation of model categories. The first step is to characterise colocal objects; these turn out to be homotopy sheaves in the sense that chain complexes over different open sets U s agree on intersections up to quasi-isomorphism. In a second step it is shown that the homotopy category of homotopy sheaves is equivalent to the derived category of X.

The maximal C*-algebra of quotients as an operator bimodule

We establish a description of the maximal C*-algebra of quotients of a unital C*-algebra A as a direct limit of spaces of completely bounded bimodule homomorphisms from certain operator submodules of the Haagerup tensor product of A with itself labelled by the essential closed right ideals of A into A. In addition the invariance of the construction of the maximal C*-algebra of quotients under strong Morita equivalence is proved.

Maximal C*-algebras of quotients and injective envelopes of C*-algebras

A new C*-enlargement of a C*-algebra A nested between the local multiplier algebra of A and its injective envelope is introduced. Various aspects of this maximal C*-algebra of quotients are studied, notably in the setting of AW*-algebras. As a by-product we obtain a new example of a type I C*-algebra such that its second iterated local multiplier algebra is strictly larger than its local multiplier algebra.

Transcending cultural differences: the role of language in migrants' integration

This research seeks to contribute to current debates on migration by examining the role of language in the process of migrants’ integration. It will consider how migrant workers living in an area with little history of international immigration navigate their way within a new destination to cope with language difference. The paper is based on empirical research (interviews and focus groups) conducted in Northern Ireland, an English speaking region with a small proportion of Irish-English bilinguals (10.3 percent of population had some knowledge of Irish in the 2001 Census). Much of the research to date, while acknowledging the importance of culture and language for migrants’ positive integration, has only begun to unpack the way in which cultural difference such as language is dealt with at an individual, family or societal level. Several themes emerge from the research including the significance of social and civil structures and the role of individual agents as new culture is created through the celebration of difference.

An Gaelaras, by O'Donnell and Tuomey:The Building blocks of Language: Review by Rick LeVert and Tarla MacGabhann

The opening of An Gaelaras - the Irish language cultural centre in Derry designed by O'Donnell + Tuomey - is the most significant architectural addition to the symbolic landscape of the Walled City in recent times. It marks nothing less than a physical re-surfacing and a normalisation of the Irish language in this long fragmented city. This alone places An Gaelaras in a delicate historical arc that spans over 1500 years of architectural heritage and links it with the now invisible ruins of St Columba's original 6th century monastery.

Ecopoetics: The Language of Nature, The Nature of Language by Scott Knickerbocker (review)

Review of Ecopoetics: The Language of Nature, The Nature of Language by Scott Knickerbocker Boston: University of Massachusetts Press, 2012. Pp. x + 203.
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