360 research outputs found
Quietly subversive: The selected works of Dilys Daws
No full textThis book gathers together selected papers and book chapters by Dilys Daws, covering her 50 years of pioneering work as a child psychotherapist.
It provides those working with parents, infants, and children with a means of learning from Daws’s decades of experience as a psychotherapist and therapeutic consultant, with plentiful case material illustrating her method of working in action. The first two sections of the book focus on her work as consultant psychotherapist in the baby clinic of a GP practice and her parent-infant work in this context as well as at the Tavistock and Portman Clinic. The third section explores her work with young children, focusing on questions around the therapeutic frame and setting. The fourth section features extended excerpts from her writings for the general public, most particularly aimed at new parents and parents with infants. Finally, the book also contains several short reflective pieces addressing themes to do with parent-infant work, the experience of the therapist, and the social role of psychoanalytic thinking.
This book will be of interest to all those working with parents and children, including doctors, health visitors, and social workers, as well as child psychotherapists and child psychoanalysts
Notes to Prisoners of the Japanese : POWs of World War II in the Pacific
No full textThese notes were produced by author Gavan Daws following the publication of his book Prisoners of the Japanese : POWs of World War II in the Pacific. As Daws writes in their introduction, "These notes are intended as a supplement to those in the published book. My purpose in making a separate, fuller set of notes available is to keep book costs down for the 99 percent of readers who aren't interested in more detail about sources, while at the same time providing for the 1 percent who are." The file available here consists only of Daws' notes, and note the entire text of the book
Preduals of semigroup algebras
No full textFor a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C 0(G) of M(G) is the unique predual which makes both the product and the coproduct on M(G) weak*-continuous. Given a discrete semigroup S, the convolution algebra ℓ 1(S) also carries a coproduct. In this paper we examine preduals for ℓ 1(S) making both the product and the coproduct weak*-continuous. Under certain conditions on S, we show that ℓ 1(S) has a unique such predual. Such S include the free semigroup on finitely many generators. In general, however, this need not be the case even for quite simple semigroups and we construct uncountably many such preduals on ℓ 1(S) when S is either ℤ+×ℤ or (ℕ,⋅)
Public internet access revisited
No full textIn recent years the Australian government has dedicated considerable project funds to establish public Internet access points in rural and regional communities. Drawing on data from a major Australian study of the social and economic impact of new technologies on rural areas, this paper explores some of the difficulties rural communities have faced in setting up public access points and sustaining them beyond their project funding. Of particular concern is the way that economic sustainability has been positioned as a measure of the success of such ventures. Government funding has been allocated on the basis of these rural public access points becoming economically self-sustaining. This is problematic on a number of counts. It is therefore argued that these public access points should be reconceptualised as essential community infrastructure like schools and libraries, rather than potential economic enterprises.\ud
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Author Keywords: Author Keywords: Internet; Public access; Sustainability; Digital divide; Rural Australia\u
Admissibility Conjecture and Kazhdan's Property (T) for quantum groups
No full textWe give a partial solution to a long-standing open problem in the theory of quantum groups, namely we prove that all finite-dimensional representations of a wide class of locally compact quantum groups factor through matrix quantum groups (Admissibility Conjecture for quantum group representations). We use this to study Kazhdan's Property (T) for quantum groups with non-trivial scaling group, strengthening and generalising some of the earlier results obtained by Fima, Kyed and So{\l}tan, Chen and Ng, Daws, Skalski and Viselter, and Brannan and Kerr. Our main results are:
(i) All finite-dimensional unitary representations of locally compact quantum groups which are either unimodular or arise through a special bicrossed product construction are admissible.
(ii) A generalisation of a theorem of Wang which characterises Property (T) in terms of isolation of finite-dimensional irreducible representations in the spectrum.
(iii) A very short proof of the fact that quantum groups with Property (T) are unimodular.
(iv) A generalisation of a quantum version of a theorem of Bekka--Valette proven earlier for quantum groups with trivial scaling group, which characterises Property (T) in terms of non-existence of almost invariant vectors for weakly mixing representations.
(v) A generalisation of a quantum version of Kerr-Pichot theorem, proven earlier for quantum groups with trivial scaling group, which characterises Property (T) in terms of denseness properties of weakly mixing representations
Operators, Semigroups, Algebras and Function Theory : Volume from IWOTA Lancaster 2021
No full textThis volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021. It includes both survey articles and original research papers covering some of the main themes of the meeting
Categorical aspects of quantum groups: multipliers and intrinsic groups
No full textWe show that the assignment of the (left) completely bounded multiplier algebra M(l)cb¹(G))to a locally compact quantum group (G), and the assignment of the intrinsic group, form functors between appropriate categories. Morphisms of locally compact quantum groups can be described by Hopf *-homomorphisms between universal C*-algebras, by bicharacters, or by special sorts of coactions. We show that the whole theory of completely bounded multipliers can be lifted to the universal C*-algebra level, and that then the different pictures of both multipliers (reduced, universal, and as centralisers) and morphisms interact in extremely natural ways. The intrinsic group of a quantum group can be realised as a class of multipliers, and so our techniques immediately apply. We also show how to think of the intrinsic group using the universal C*-algebra picture, and then, again, show how the differing views on the intrinsic group interact naturally with morphisms. We show that the intrinsic group is the "maximal classical" quantum subgroup of a locally compact quantum group, show that it is even closed in the strong Vaes sense, and that the intrinsic group functor is an adjoint to the inclusion functor from locally compact groups to quantum groups
Non-commutative separate continuity and weakly almost periodicity for Hopf von Neumann algebras
No full textFor a compact Hausdorff space X, the space SC(X×X) of separately continuous complex valued functions on X can be viewed as a C*-subalgebra of C(X)**⊗-C(X)**, namely those elements which slice into C(X). The analogous definition for a non-commutative C*-algebra does not necessarily give an algebra, but we show that there is always a greatest C*-subalgebra. This thus gives a non-commutative notion of separate continuity. The tools involved are multiplier algebras and row/column spaces, familiar from the theory of Operator Spaces. We make some study of morphisms and inclusions. There is a tight connection between separate continuity and the theory of weakly almost periodic functions on (semi)groups. We use our non-commutative tools to show that the collection of weakly almost periodic elements of a Hopf von Neumann algebra, while itself perhaps not a C*-algebra, does always contain a greatest C*-subalgebra. This allows us to give a notion of non-commutative, or quantum, semitopological semigroup, and to briefly develop a compactification theory in this context
Multipliers, self-induced and dual Banach algebras
No full textIn the first part of the paper, we present a short survey of the theory of multipliers, or double centralisers, of Banach algebras and completely contractive Banach algebras. Our approach is very algebraic: this is a deliberate attempt to separate essentially algebraic arguments from topological arguments. We concentrate upon the problem of how to extend module actions, and homomorphisms, from algebras to multiplier algebras. We then consider the special cases when we have a bounded approximate identity, and when our algebra is self-induced. In the second part of the paper, we mainly concentrate upon dual Banach algebras. We provide a simple criterion for when a multiplier algebra is a dual Banach algebra. This is applied to show that the multiplier algebra of the convolution algebra of a locally compact quantum group is always a dual Banach algebra. We also study this problem within the framework of abstract Pontryagin duality, and show that we construct the same weak* topology. We explore the notion of a Hopf convolution algebra, and show that in many cases, the use of the extended Haagerup tensor product can be replaced by a multiplier algebra
Multipliers of locally compact quantum groups via Hilbert C*-modules
No full textA result of Gilbert shows that every completely bounded multiplier of the Fourier algebra arises from a pair of bounded continuous maps , where is a Hilbert space, and for all . We recast this in terms of adjointable operators acting between certain Hilbert C-modules, and show that an analogous construction works for completely bounded left multipliers of a locally compact quantum group. We find various ways to deal with right multipliers: one of these involves looking at the opposite quantum group, and this leads to a proof that the (unbounded) antipode acts on the space of completely bounded multipliers, in a way which interacts naturally with our representation result. The dual of the universal quantum group (in the sense of Kustermans) can be identified with a subalgebra of the completely bounded multipliers, and we show how this fits into our framework. Finally, this motivates a certain way to deal with two-sided multipliers
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