On twisted Fourier analysis and convergence of Fourier series on discrete groups

We study norm convergence and summability of Fourier series in the setting of reduced twisted group $C^*$-algebras of discrete groups. For amenable groups, F{\o}lner nets give the key to Fej\'er summation. We show that Abel-Poisson summation holds for a large class of groups, including e.g. all Coxeter groups and all Gromov hyperbolic groups. As a tool in our presentation, we introduce notions of polynomial and subexponential H-growth for countable groups w.r.t. proper scale functions, usually chosen as length functions. These coincide with the classical notions of growth in the case of amenable groups.Comment: 35 pages; abridged, revised and update

Toxicidade de sementes de fedegoso (Cassia occidentalis L.) para frangos de corte

Three experiments were carried out in order to determine toxic levels of Cassia occidentalis seeds added to broiler feed. On the first two experiments 640 one day-old sexed broiler chicks were used. The level of inclusion in starter feed of the first trial were 0; 2; 4 and 6% and the mortality rates obtained were 5.77; 84.62; 100 and 100%, respectively. In the second trial, levels utilized were 0; 0.5; 1 and 2% and the mortality rates were 0; 3.29; 15.73 and 89.47%, respectively. 960 3-day-old sexed chicks were used in the third experiment. In the starter (4 to 31 days of age) and finisher (32 to 52 days) experimental rations the seeds were added at 0; 0.1; 0.2; 0.3; 0.4 and 0.5%. The final body weights were 2.01; 1.95; 1.95; 1.90; 1.77 and 1.58 kg, respectively, being the three highest level groups different from the control. Feed consumption (4.33; 4.32; 4.32; 4.28; 4.08 and 3.80 kg, respectively) and feed conversion (2.15; 2.21; 2.22; 2.25; 2.31 and 2.41, respectively) were significantly different at 0.4 and 0.5% of seed inclusion comparing to the control group. Histologic aspects of birds that were fed with toxic seeds were characterized by a degenerative process found in the heart, liver, pancreas, kidneys, skeletic muscle and intestines. Mortality rates were 2.77; 2.08; 2.08; 0.69; 0.69 and 0%, respectively.Foram realizados três ensaios com o objetivo de se determinar o nível de toxicidade da contaminação de sementes de Cassia occidentalis na alimentação de frangos de corte. Nos dois primeiros ensaios foram utilizadas 640 aves de 1 dia de idade. Os níveis de adição da semente no primeiro ensaio foram, 0; 2; 4 e 6%, obtendo-se 5,77; 84,62; 100 e 100% de mortalidade, respectivamente. No segundo ensaio, os níveis utilizados foram 0; 0,5; 1 e 2%, obtendo-se 0; 3,29; 15,73 e 89,47% de mortalidade, respectivamente. No terceiro ensaio, utilizou-se 960 aves de 3 dias de idade. Adicionou-se a ração inicial (4-31 dias de idade) e final (32-52 dias) sementes moídas de fedegoso aos níveis de 0; 0,1; 0,2; 0,3; 0,4 e 0,5%. O peso médio final das aves foi 2,01; 1,95; 1,95; 1,90; 1,77 e 1,58 kg, respectivamente, observando-se diferença significativa (P < 0,05%) em relação ao controle para 0,3; 0,4 e 0,5% de adição. Os valores médios de consumo (4,33; 4,32; 4,32; 4,28; 4,08 e 3,80 kg, respectivamente) e da conversão alimentar (2,15; 2,21; 2,22; 2,25; 2,31 e 2,41, respectivamente) foram significativamente diferentes (P < 0,05%) para 0,4 e 0,5% de adição das sementes em relação ao grupo controle. O aspecto histológico de órgãos e tecidos das aves que receberam C.occidentalis, sacrificadas no término das fases inicial e final, foi característico de um processo degenerativo observado no coração, fígado, pâncreas, rins, músculo estriado esquelético e intestinos. Os percentuais de mortalidade foram 2,77; 2,08; 2,08; 0,69; 0,69 e 0%, respectivamente

National identity predicts public health support during a global pandemic

Changing collective behaviour and supporting non-pharmaceutical interventions is an important component in mitigating virus transmission during a pandemic. In a large international collaboration (Study 1, N = 49,968 across 67 countries), we investigated self-reported factors associated with public health behaviours (e.g., spatial distancing and stricter hygiene) and endorsed public policy interventions (e.g., closing bars and restaurants) during the early stage of the COVID-19 pandemic (April-May 2020). Respondents who reported identifying more strongly with their nation consistently reported greater engagement in public health behaviours and support for public health policies. Results were similar for representative and non-representative national samples. Study 2 (N = 42 countries) conceptually replicated the central finding using aggregate indices of national identity (obtained using the World Values Survey) and a measure of actual behaviour change during the pandemic (obtained from Google mobility reports). Higher levels of national identification prior to the pandemic predicted lower mobility during the early stage of the pandemic (r = −0.40). We discuss the potential implications of links between national identity, leadership, and public health for managing COVID-19 and future pandemics.publishedVersio

Effects of eight neuropsychiatric copy number variants on human brain structure

peer reviewedMany copy number variants (CNVs) confer risk for the same range of neurodevelopmental symptoms and psychiatric conditions including autism and schizophrenia. Yet, to date neuroimaging studies have typically been carried out one mutation at a time, showing that CNVs have large effects on brain anatomy. Here, we aimed to characterize and quantify the distinct brain morphometry effects and latent dimensions across 8 neuropsychiatric CNVs. We analyzed T1-weighted MRI data from clinically and non-clinically ascertained CNV carriers (deletion/duplication) at the 1q21.1 (n = 39/28), 16p11.2 (n = 87/78), 22q11.2 (n = 75/30), and 15q11.2 (n = 72/76) loci as well as 1296 non-carriers (controls). Case-control contrasts of all examined genomic loci demonstrated effects on brain anatomy, with deletions and duplications showing mirror effects at the global and regional levels. Although CNVs mainly showed distinct brain patterns, principal component analysis (PCA) loaded subsets of CNVs on two latent brain dimensions, which explained 32 and 29% of the variance of the 8 Cohen’s d maps. The cingulate gyrus, insula, supplementary motor cortex, and cerebellum were identified by PCA and multi-view pattern learning as top regions contributing to latent dimension shared across subsets of CNVs. The large proportion of distinct CNV effects on brain morphology may explain the small neuroimaging effect sizes reported in polygenic psychiatric conditions. Nevertheless, latent gene brain morphology dimensions will help subgroup the rapidly expanding landscape of neuropsychiatric variants and dissect the heterogeneity of idiopathic conditions. © 2021, The Author(s)

Whole-genome sequencing reveals host factors underlying critical COVID-19

Critical COVID-19 is caused by immune-mediated inflammatory lung injury. Host genetic variation influences the development of illness requiring critical care1 or hospitalization2,3,4 after infection with SARS-CoV-2. The GenOMICC (Genetics of Mortality in Critical Care) study enables the comparison of genomes from individuals who are critically ill with those of population controls to find underlying disease mechanisms. Here we use whole-genome sequencing in 7,491 critically ill individuals compared with 48,400 controls to discover and replicate 23 independent variants that significantly predispose to critical COVID-19. We identify 16 new independent associations, including variants within genes that are involved in interferon signalling (IL10RB and PLSCR1), leucocyte differentiation (BCL11A) and blood-type antigen secretor status (FUT2). Using transcriptome-wide association and colocalization to infer the effect of gene expression on disease severity, we find evidence that implicates multiple genes—including reduced expression of a membrane flippase (ATP11A), and increased expression of a mucin (MUC1)—in critical disease. Mendelian randomization provides evidence in support of causal roles for myeloid cell adhesion molecules (SELE, ICAM5 and CD209) and the coagulation factor F8, all of which are potentially druggable targets. Our results are broadly consistent with a multi-component model of COVID-19 pathophysiology, in which at least two distinct mechanisms can predispose to life-threatening disease: failure to control viral replication; or an enhanced tendency towards pulmonary inflammation and intravascular coagulation. We show that comparison between cases of critical illness and population controls is highly efficient for the detection of therapeutically relevant mechanisms of disease