Some Remarks on Group Bundles and C*-dynamical systems

We introduce the notion of fibred action of a group bundle on a C(X)-algebra. By using such a notion, a characterization in terms of induced C*-bundles is given for C*-dynamical systems such that the relative commutant of the fixed-point algebra is minimal (i.e., it is generated by the centre of the given C*-algebra and the centre of the fixed-point algebra). A class of examples in the setting of the Cuntz algebra is given, and connections with superselection structures with nontrivial centre are discussed.Comment: 22 pages; to appear on Comm. Math. Phy

Net bundles over posets and K-theory

We continue studying net bundles over partially ordered sets (posets), defined as the analogues of ordinary fibre bundles. To this end, we analyze the connection between homotopy, net homology and net cohomology of a poset, giving versions of classical Hurewicz theorems. Focusing our attention on Hilbert net bundles, we define the K-theory of a poset and introduce functions over the homotopy groupoid satisfying the same formal properties as Chern classes. As when the given poset is a base for the topology of a space, our results apply to the category of locally constant bundles.Comment: 34 page

QED representation for the net of causal loops

The present work tackles the existence of local gauge symmetries in the setting of Algebraic Quantum Field Theory (AQFT). The net of causal loops, previously introduced by the authors, is a model independent construction of a covariant net of local C*-algebras on any 4-dimensional globally hyperbolic space-time, aimed to capture structural properties of any reasonable quantum gauge theory. Representations of this net can be described by causal and covariant connection systems, and local gauge transformations arise as maps between equivalent connection systems. The present paper completes these abstract results, realizing QED as a representation of the net of causal loops in Minkowski space-time. More precisely, we map the quantum electromagnetic field Fμν, not free in general, into a representation of the net of causal loops and show that the corresponding connection system and the local gauge transformations find a counterpart in terms of Fμν

The universal algebra of the electromagnetic field III. Static charges and emergence of gauge fields

A universal C*-algebra of gauge invariant operators is presented, describing the electromagnetic field as well as operations creating pairs of static electric charges having opposite signs. Making use of Gauss’ law, it is shown that the string-localized operators, which necessarily connect the charges, induce outer automorphisms of the algebra of the electromagnetic field. Thus they carry additional degrees of freedom which cannot be created by the field. It reveals the fact that gauge invariant operators encode information about the presence of non-observable gauge fields underlying the theory. Using the Gupta-Bleuler formalism, concrete implementations of the outer automorphisms by exponential functions of the gauge fields are presented. These fields also appear in unitary operators inducing the time translations in the resulting representations of the universal algebra

A theory of bundles over posets

In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of the manifold can be computed in terms of the base poset. We develop a theory of connections and curvature for bundles over posets in search of a formulation of gauge theories in algebraic quantum field theory

Health profile of the PASSI surveillance system according to the second self-audit data

Background. The surveillance system PASSI (Progresses in ASSessing adult population health in Italy) is centrally coordinated by the Istituto Superiore di Sanita (ISS) and carried on by Local Health Units (LHU) from all the 21 Italian Regional Health Authorities since 2008. PASSI monitors the main behavioural health-related risk factors among the adult population in order to better orient and further elaborate interventions for the prevention of major chronic diseases.Study design. Basing on outcomes from the first pilot study in 2011, we conducted a second self-audit to investigate and map levels of conformity with recognized implementation standards by the protocol for PASSI local management in the 21 Italian Regional Health Authorities.Methods. We designed an online questionnaire supported by an open source application (Google) and sent to the local PASSI coordinators. Data were collected from April to September 2013. 113 out of 148 LHUs from all the 21 Italian Regional Health Authorities participated, with a response rate of 76%.Results. Overall, in the respondent LHUs 1,036 professionals result to differently engage in surveillance activities. Although PASSI is locally-based, where data collection and computerisation are arranged, central support is highly appreciated in terms of quality monitoring, analysis, output processing, professional training, delivery of dissemination material. PASSI data are more used for communication (60%) and planning (80%) than to scientific ends.Conclusions. After a ten-year activity, PASSI as complex public health program requires periodical self-audit rounds in order to assess to what extent relevant performance indicators match the levels indicated in its own operational protocol. The second self-audit showed to be reliable concerning both sustainability and data collection. It then represents an experience that can be renewed and repeated

Superselection Sectors and General Covariance.I

This paper is devoted to the analysis of charged superselection sectors in the framework of the locally covariant quantum field theories. We shall analize sharply localizable charges, and use net-cohomology of J.E. Roberts as a main tool. We show that to any 4-dimensional globally hyperbolic spacetime it is attached a unique, up to equivalence, symmetric tensor \Crm^*-category with conjugates (in case of finite statistics); to any embedding between different spacetimes, the corresponding categories can be embedded, contravariantly, in such a way that all the charged quantum numbers of sectors are preserved. This entails that to any spacetime is associated a unique gauge group, up to isomorphisms, and that to any embedding between two spacetimes there corresponds a group morphism between the related gauge groups. This form of covariance between sectors also brings to light the issue whether local and global sectors are the same. We conjecture this holds that at least on simply connected spacetimes. It is argued that the possible failure might be related to the presence of topological charges. Our analysis seems to describe theories which have a well defined short-distance asymptotic behaviour.Comment: 66 page

Thrombocytopenia and Mortality Risk in Patients With Atrial Fibrillation: An Analysis From the START Registry

Background: Thrombocytopenia is associated with increased mortality in the general population, but few data exist in patients with atrial fibrillation (AF) taking oral anticoagulants. We investigated factor determinants of thrombocytopenia in a large cohort of patients affected by AF and its association with total mortality. Methods and Results: Multicenter prospective cohort study, including 5215 patients with AF from the START (Survey on Anticoagulated Patients Register) registry, 3877 (74.3%) and 1338 (25.7%) on vitamin K or non\u2013vitamin K antagonist oral anticoagulants, respectively. Thrombocytopenia was defined by a platelet count <150 7109/L. Determinants of thrombocytopenia were investigated, and all-cause mortality was the primary survival end point of the study. Thrombocytopenia was present in 592 patients (11.4%). At multivariable logistic regression analysis, chronic kidney disease (odds ratio [OR], 1.257; P=0.030), active cancer (OR, 2.065; P=0.001), liver cirrhosis (OR, 7.635; P<0.001), and the use of diuretics (OR, 1.234; P=0.046) were positively associated with thrombocytopenia, whereas female sex (OR, 0.387; P<0.001) and the use of calcium channel blockers (OR, 0.787; P=0.032) were negatively associated. During a median follow-up of 19.2 months (9942 patient-years), 391 deaths occurred (rate, 3.93%/year). Mortality rate increased from 3.8%/year to 9.9%/year in patients with normal platelet count and in those with moderate-severe thrombocytopenia, respectively (log-rank test, P=0.009). The association between moderate-severe thrombocytopenia and mortality persisted after adjustment for CHA2DS2 VASc score (hazard ratio, 2.431; 95% CI, 1.254\u20134.713; P=0.009), but not in the fully adjusted multivariable Cox regression analysis model. Conclusions: Thrombocytopenia is common in patients with AF. Despite an increased incidence of mortality, thrombocytopenia was not associated with mortality at multivariable analysis. Thrombocytopenia may reflect the presence of comorbidities associated with poor survival in AF

The C(X)-algebra of a net and index theory.

Given a connected and locally compact Hausdorff space X with a good base K we assign, in a functorial way, a C(X)-algebra to any precosheaf of C*-algebras A defined over K. Afterwards we consider the representation theory and the Kasparov K-homology of A, and interpret them in terms, respectively, of the representation theory and the K-homology of the associated C(X)-algebra. When A is an observable net over the spacetime X in the sense of algebraic quantum field theory, this yields a geometric description of the recently discovered representations affected by the topology of X