Sets of multiplicity and closable multipliers on group algebras

We undertake a detailed study of the sets of multiplicity in a second countable locally compact group G and their operator versions. We establish a symbolic calculus for normal completely bounded maps from the space B(L-2(G)) of bounded linear operators on L-2 (G) into the von Neumann algebra VN(G) of G and use it to show that a closed subset E subset of G is a set of multiplicity if and only if the set E* = {(s,t) is an element of G x G : ts(-1) is an element of E} is a set of operator multiplicity. Analogous results are established for M-1-sets and M-0-sets. We show that the property of being a set of multiplicity is preserved under various operations, including taking direct products, and establish an Inverse Image Theorem for such sets. We characterise the sets of finite width that are also sets of operator multiplicity, and show that every compact operator supported on a set of finite width can be approximated by sums of rank one operators supported on the same set. We show that, if G satisfies a mild approximation condition, pointwise multiplication by a given measurable function psi : G -> C defines a closable multiplier on the reduced C*-algebra G(r)*(G) of G if and only if Schur multiplication by the function N(psi): G x G -> C, given by N(psi)(s, t) = psi(ts(-1)), is a closable operator when viewed as a densely defined linear map on the space of compact operators on L-2(G). Similar results are obtained for multipliers on VN(C).

Tracking Change in Northern Ireland Policing: Temporal Phases and Key Themes

Purpose
– The purpose of this paper is to explore and explain the change process in Northern Ireland policing through an analysis of temporally bracketed change phases and key change delivery themes ranging from 1996 to 2012.

Design/methodology/approach
– The research approach adopted is process based, longitudinal and multi-method, utilising “temporal bracketing” to determine phases of change and conjunctural reasoning to unravel the systematic factors interacting over time, within the case.

Findings
– The paper identifies and temporally brackets four phases of change: “Tipping point”; “Implementation, Symbolic Modification and Resistance”; “Power Assisted Steering”; and “A Return to Turbulence”, identifies four themes that emerge from RUC-PSNI experience: the role of adaptive leadership; pace and sequencing of change implementation; sufficient resourcing; and the impact of external agents acting as boundary spanners, and comments on the prominence of these themes through the phases. The paper goes on to reflect upon how these phases and themes inform our understanding of organisational change within policing organisations generally and within politically pressurised transition processes.

Originality/value
– The contribution of the paper lies in the documentation of an almost unique organisational case in an environmentally forced change process. In this it contains lessons for other organisations facing similar, if less extreme challenges and presents an example of intense change analysed longitudinally.

Ethnic Segregation, Moral Panics and Social Class: A Comparative Study of the Experiences and Perspectives of Working Class and Middle Class Children in Belfast

This paper begins by describing the moral panics that have tended to emerge sporadically in Northern Ireland over the last few years with regard to young people’s involvement in sectarian violence in Belfast. Within this, while these young people have been cast in the traditional role of folk devils, the paper will show how younger children also tend to be explicitly identified and named in an ambiguous way through such moral panics; playing a deviant role as participators, and sometimes instigators, of sectarian violence but also carrying the symbolic responsibility of representing Belfast’s future. It will be shown that it is because of this ambiguous position that it is adults rather than the children themselves that tend to be held responsible for their actions; either as rioters using the children as political pawns or as parents guilty of neglect. With this as a starting point the paper then explores the perspectives and experiences of two groups of 10-11 year old children living in Belfast and the impact of these moral panics on them. One group of children, living in affluent middle class areas were found to be appropriating and re-working these broader moral panics into more general discourses of derision that tended to pathologize working class children and communities more generally. For the other group of children, living in economically deprived areas with high levels of sectarian tensions and violence, their experiences of such violence and their participation in it are discussed. It will be shown that for these children, the broader moral panics that exist tend to have the effect of reinforcing the processes that tend to segregate and exclude them.

Ruedas metafísicas: ‘Personality’ and ‘Essence’ in Remedios Varo’s Paintings

While most critics have noted the profound affinity Remedios Varo felt with the ideas she encountered in the esoteric philosophy of G. I. Gurdjieff and his pupil P. D. Ouspensky, only in recent years have they begun to uncover the extent to which this teaching informed her richly symbolic work. This article shows how Gurdjieff’s views on ‘personality’ and ‘essence’, as outlined in Ouspensky’s exposition of his master’s ideas, In Search of the Miraculous, informed Varo’s depiction of a quest for spiritual equilibrium. In doing so, it brings to light the importance Varo placed in the development of a robust, spiritual Self.

Enabling Others in Social Work: Reflexivity and the Theory of Social Domains

This paper sets out a framework to structure reflexivity in social work practice. Based on the thinking of the sociologist, Derek Layder, it comprises five domains that impact on the individual and social life, namely: (i) psycho-biography – referring to a person’s unique experience throughout the life-course; (ii) situated activity – highlighting the impact of every day social interaction; (iii) social settings – addressing the role of organizations in social life; (iv) culture – covering the influence of attitudes, beliefs, tastes and ideas on symbolic meaning; and (v) politico-economy – alluding to the ramifications of political and economic forces on people’s lives. It is contended that power circulates throughout each domain as an enabling and constraining force. The paper then outlines a process for using the reflexive framework in ‘enabling’ activities such as practice learning, supervision, mentoring and coaching. By applying the framework in these contexts, it is argued that social workers can reflect critically on their role and develop emancipatory forms of practice.

Game-­theoretic Resource Allocation with Real-­time Probabilistic Surveillance Information

Game-theoretic security resource allocation problems have generated significant interest in the area of designing and developing security systems. These approaches traditionally utilize the Stackelberg game model for security resource scheduling in order to improve the protection of critical assets. The basic assumption in Stackelberg games is that a defender will act first, then an attacker will choose their best response after observing the defender’s strategy commitment (e.g., protecting a specific asset). Thus, it requires an attacker’s full or partial observation of a defender’s strategy. This assumption is unrealistic in real-time threat recognition and prevention. In this paper, we propose a new solution concept (i.e., a method to predict how a game will be played) for deriving the defender’s optimal strategy based on the principle of acceptable costs of minimax regret. Moreover, we demonstrate the advantages of this solution concept by analyzing its properties.