3,615 research outputs found

    A Cross-cohort Description of Young People’s Housing Experience in Britain over 30 Years: An Application of Sequence Analysis

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    Methods. Sequence Analysis supported by Event History Analysis. Key Findings. Despite only 12 years separating both cohorts, the younger 1970 cohort exhibited very different patterns of housing including a slower progression out of the parental home and into stable tenure, and an increased reliance on privately rented housing. Returns to the parental home occurred across the twenties and into the thirties in both cohorts, although occurred more frequently and were more concentrated among certain groups in the 1970 cohort compared to the 1958 cohort. Although fewer cohort members in the 1970 cohort experienced social housing, and did so at a later age, social housing was also associated with greater tenure immobility in this younger cohort. Conclusions. The housing experiences of the younger cohort became associated with more unstable tenure (privately rented housing) for the majority. Leaving the parental home was observed to be a process, as opposed to a one-off event, and several returns to the parental home were documented, more so for the 1970 cohort. These findings are not unrelated, and in the current environment of rising house prices, collapses in the (youth) labour market and rising costs of higher education, are likely to increase in prevalence across subsequent cohorts

    Normalizers of Irreducible Subfactors

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    We consider normalizers of an irreducible inclusion NMN\subseteq M of II1\mathrm{II}_1 factors. In the infinite index setting an inclusion uNuNuNu^*\subseteq N can be strict, forcing us to also investigate the semigroup of one-sided normalizers. We relate these normalizers of NN in MM to projections in the basic construction and show that every trace one projection in the relative commutant NN'\cap is of the form ueNuu^*e_Nu for some unitary uMu\in M with uNuNuNu^*\subseteq N. This enables us to identify the normalizers and the algebras they generate in several situations. In particular each normalizer of a tensor product of irreducible subfactors is a tensor product of normalizers modulo a unitary. We also examine normalizers of irreducible subfactors arising from subgroup--group inclusions HGH\subseteq G. Here the normalizers are the normalizing group elements modulo a unitary from L(H)L(H). We are also able to identify the finite trace L(H)L(H)-bimodules in 2(G)\ell^2(G) as double cosets which are also finite unions of left cosets.Comment: 33 Page

    Do actions occur inside the body?

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    The paper offers a critical examination of Jennifer Hornsby's view that actions are internal to the body. It focuses on three of Hornsby's central claims: (P) many actions are bodily movements (in a special sense of the word “movement”) (Q) all actions are tryings; and (R) all actions occur inside the body. It is argued, contra Hornsby, that we may accept (P) and (Q) without accepting also the implausible (R). Two arguments are first offered in favour of the thesis (Contrary-R): that no actions occur inside the body. Three of Hornsby's arguments in favour of R are then examined. It is argued that we need to make a distinction between the causes and the causings of bodily movements (in the ordinary sense of the word “movement”) and that actions ought to be identified with the latter rather than the former. This distinction is then used to show how Hornsby's arguments for (R) may be resisted

    A remark on the similarity and perturbation problems

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    In this note we show that Kadison's similarity problem for C*-algebras is equivalent to a problem in perturbation theory: must close C*-algebras have close commutants?Comment: 6 Pages, minor typos fixed. C. R. Acad. Sci. Canada, to appea

    Kadison-Kastler stable factors

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    A conjecture of Kadison and Kastler from 1972 asks whether sufficiently close operator algebras in a natural uniform sense must be small unitary perturbations of one another. For n≥3 and a free, ergodic, probability measure-preserving action of SL<sub>n</sub>(Z) on a standard nonatomic probability space (X,μ), write M=(L<sup>∞</sup>(X,μ)⋊SL<sub>n</sub>(Z))⊗¯¯¯R, where R is the hyperfinite II1-factor. We show that whenever M is represented as a von Neumann algebra on some Hilbert space H and N⊆B(H) is sufficiently close to M, then there is a unitary u on H close to the identity operator with uMu∗=N. This provides the first nonamenable class of von Neumann algebras satisfying Kadison and Kastler’s conjecture. We also obtain stability results for crossed products L<sup>∞</sup>(X,μ)⋊Γ whenever the comparison map from the bounded to usual group cohomology vanishes in degree 2 for the module L<sup>2</sup>(X,μ). In this case, any von Neumann algebra sufficiently close to such a crossed product is necessarily isomorphic to it. In particular, this result applies when Γ is a free group

    Imperfect identity

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    Questions of identity over time are often hard to answer. A long tradition has it that such questions are somehow soft: they have no unique, determinate answer, and disagreements about them are merely verbal. I argue that this claim is not the truism it is taken to be. Depending on how it is understood, it turns out either to be false or to presuppose a highly contentious metaphysical claim

    Chirped pulse Raman amplification in plasma: high gain measurements

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    High power short pulse lasers are usually based on chirped pulse amplification (CPA), where a frequency chirped and temporarily stretched ``seed'' pulse is amplified by a broad-bandwidth solid state medium, which is usually pumped by a monochromatic ``pump'' laser. Here, we demonstrate the feasibility of using chirped pulse Raman amplification (CPRA) as a means of amplifying short pulses in plasma. In this scheme, a short seed pulse is amplified by a stretched and chirped pump pulse through Raman backscattering in a plasma channel. Unlike conventional CPA, each spectral component of the seed is amplified at different longitudinal positions determined by the resonance of the seed, pump and plasma wave, which excites a density echelon that acts as a "chirped'" mirror and simultaneously backscatters and compresses the pump. Experimental evidence shows that it has potential as an ultra-broad bandwidth linear amplifier which dispenses with the need for large compressor gratings
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