Textualising British Politics: Deconstructing the subject of British foreign policy

British politics has been described as a sub-discipline crying out for methodological and ideational cross-fertilisation. Where other areas of political science have benefited from new ideas, British politics has remained largely atheoretical and underdeveloped. This has changed recently with the rise of interpretivism but the study of British politics would also benefit from more serious engagement with poststructuralism. With this in mind, I examine how the thought of Jacques Derrida and deconstruction could be useful for thinking through the foundations of British politics, re-examining what appears natural or given and revealing the problematic and contradictory status of these foundations. After suggesting the need to 'textualise' British politics', I illustrate how deconstruction operates in a specific context, that of British foreign policy since 1997. This exploration reveals how certain decisions (such as the invasion of Iraq in 2003) became possible in the first place, and how their basis in an idea of an 'us' and a 'them', a coherent, autonomous subject separate from its object, is deeply problematic. Such a critical reading of British politics is impossible within the dominant interpretivist framework, and opens up new possibilities for thought which form an important supplement to existing ways of studying the field.

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.

Jordan isomorphism of purely infinite C*-algebras

We prove that every unital bounded linear mapping from a unital purely infinite C*-algebra of real rank zero into a unital Banach algebra which preserves elements of square zero is a Jordan homomorphism. This entails a description of unital surjective spectral isometries as the Jordan isomorphisms in this setting.

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.

SK1 of graded division algebras

The reduced Whitehead group $\SK$ of a graded division algebra graded by a torsion-free abelian group is studied. It is observed that the computations here are much more straightforward than in the non-graded setting. Bridges to the ungraded case are then established by the following two theorems: It is proved that $\SK$ of a tame valued division algebra over a henselian field coincides with $\SK$ of its associated graded division algebra. Furthermore, it is shown that $\SK$ of a graded division algebra is isomorphic to $\SK$ of its quotient division algebra. The first theorem gives the established formulas for the reduced Whitehead group of certain valued division algebras in a unified manner, whereas the latter theorem covers the stability of reduced Whitehead groups, and also describes $\SK$ for generic abelian crossed products.