Property (RD) for Hecke pairs

As the first step towards developing noncommutative geometry over Hecke C*-algebras, we study property (RD) (Rapid Decay) for Hecke pairs. When the subgroup H in a Hecke pair (G,H) is finite, we show that the Hecke pair (G,H) has (RD) if and only if G has (RD). This provides us with a family of examples of Hecke pairs with property (RD). We also adapt Paul Jolissant's works in 1989 to the setting of Hecke C*-algebras and show that when a Hecke pair (G,H) has property (RD), the algebra of rapidly decreasing functions on the set of double cosets is closed under holomorphic functional calculus of the associated (reduced) Hecke C*-algebra. Hence they have the same K_0-groups.Comment: A short note added explaining other methods to prove that the subalgebra of rapidly decreasing functions is smooth. This is the final version as published. The published version is available at: springer.co

Lattice Boltzmann simulations of soft matter systems

This article concerns numerical simulations of the dynamics of particles immersed in a continuum solvent. As prototypical systems, we consider colloidal dispersions of spherical particles and solutions of uncharged polymers. After a brief explanation of the concept of hydrodynamic interactions, we give a general overview over the various simulation methods that have been developed to cope with the resulting computational problems. We then focus on the approach we have developed, which couples a system of particles to a lattice Boltzmann model representing the solvent degrees of freedom. The standard D3Q19 lattice Boltzmann model is derived and explained in depth, followed by a detailed discussion of complementary methods for the coupling of solvent and solute. Colloidal dispersions are best described in terms of extended particles with appropriate boundary conditions at the surfaces, while particles with internal degrees of freedom are easier to simulate as an arrangement of mass points with frictional coupling to the solvent. In both cases, particular care has been taken to simulate thermal fluctuations in a consistent way. The usefulness of this methodology is illustrated by studies from our own research, where the dynamics of colloidal and polymeric systems has been investigated in both equilibrium and nonequilibrium situations.Comment: Review article, submitted to Advances in Polymer Science. 16 figures, 76 page

Chemical Addressability of Ultraviolet-Inactivated Viral Nanoparticles (VNPs)

. Thus, inactivation of the virus RNA genome is important for biosafety considerations, however the surface characteristics and chemical reactivity of the particles must be maintained in order to preserve chemical and structural functionality. were shown to maintain particle structure and chemical reactivity, and cellular binding properties were similar to CPMV-WT. applications

O cuidado como uma Lei da Natureza: uma percepção integral do cuidar El cuidado como una Ley de la Naturaleza: una percepción integral del cuidado Care as a Nature Law: an integral perception of caring

Este trabalho faz uma reflexão entre a percepção do cuidar pelo profissional de enfermagem e a relação do significado dado ao termo Cuidar, que é um instrumento norteador da qualidade da assistência. Questiona o nível de profundidade do significado que essa palavra pode assumir, identificando sua presença em todos os processos do Universo e na história mitológica do ser humano. Propõe que o cuidar é a Lei que permite a manifestação dos potenciais de organização numa certa direção de estabilidade dinâmica, manifestos na matéria, até a promoção e estabelecimento da saúde e do bem-estar. Concluiu-se, afirmando que a Lei do Cuidar pode ser entendida como um conjunto de forças que permitem o prolongamento ou abreviamento de certo grau de organização, que pode ser expresso em diversos níveis.<br>En este trabajo se hace una reflexión entre la percepción del cuidar por el profesional de enfermería y la relación del significado dado al término Cuidar, que es un instrumento norteador de la calidad de la asistencia. Cuestiona el nivel de profundidad del significado que esa palabra puede asumir, identificando su presencia en todos los procesos del Universo y en la historia mitológica del ser humano. Propone que el cuidar es la Ley que permite la manifestación de los potenciales de organización en una determinada dirección de estabilidad dinámica, manifestados en la materia, hasta la promoción y el establecimiento de la salud y del bienestar. Se concluye con la afirmación de que la Ley del Cuidar puede ser entendida como un conjunto de fuerzas que permiten la prolongación o brevedad de cierto grado de organización, que puede ser expresado en diversos niveles.<br>This paper is a reflection on the perception of care nursing professionals have and the meaning given to the term, which is a tool for directing the quality of the assistance. It questions the level of depth that this word may have, identifying its presence in all processes of the Universe and throughout mankind's mythological history. It proposes that caring is the law that makes possible the manifestation of the organization potential in a given direction of dynamic stability, seen in matter, which unfolds into the promotion and establishment of health and well-being. It concludes by stating that the Law of Care may be understood as a set of forces that make possible the extension or abbreviation of a given degree of organization that may be expressed in different level