The authors introduce the concept of finitely coloured equivalence for unital -homomorphisms between -algebras, for which unitary equivalence is the -coloured case. They use this notion to classify -homomorphisms from separable, unital, nuclear -algebras into ultrapowers of simple, unital, nuclear, -stable -algebras with compact extremal trace space up to -coloured equivalence by their behaviour on traces; this is based on a -coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, -stable -algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a “homotopy equivalence implies isomorphism” result for large classes of -algebras with finite nuclear dimension.
The author of this volume has studied IgA nephropathy for nearly 25 years, almost as long as primary IgA nephropathy has been recognized as a new disease. IgA nephropathy, considered to be an immune-complex-mediated glomerulonephri tis, is characterized by granular deposition of IgA (mainly IgA1) and C3 in the glomerular mesangial areas and is defined as nephropathy showing pro- liferative changes in the glomerular mesangial cells and increases in the mesangial matrices. Apart from being one of the most common types of chronic glomerulonephritis, it is also the most frequent case of end-stage renal disease. Since the pathogenesis of IgA nephropathy is still obscure, specific treatment is not yet available. Previous approaches have included tonsillectomy, anticoagulants, prednisolone, immunosuppressants, angiotensin-converting enzyme inhibitors and others. During his career, the author of this book has studied many aspects of IgA nephropathy, shedding much light on the mechanism of development and progression of this disease. He also undertook new treatments for patients and developed animal models for IgA nephropathy. The purpose of the present volume is to review the authors work on pathogenesis and treatment of the disease and to provide the most up-to-date findings on this subject, constituting a valuable source of information for nephrologists, general practitioners, residents and interns.
Despite a long history, the organized field of research on voluntaristics in Japan has emerged only in the past two decades. This article presents a comprehensive review of voluntaristics research in Japan through an overview of past studies and recent hot topics. Nonprofit sector and voluntary action research, now termed voluntaristics (Smith, 2016), is reviewed here using four approaches: organizational, economic, employment, and charitable giving. Discussion of recent changes in the political-legal environment for nonprofit agencies and associations as well as of collaboration among nonprofits, governments, and businesses are presented. The article also covers some of the key topics in recent years, including rising social movements and advocacy, social impact bonds, social capital, and information and communication technologies (ICT) and social media. In discussing the emergence, expansion, and diversification of nonprofit research in Japan, the article makes two main arguments. First, we argue that studies of voluntaristics are rather recent in Japan, still in pursuit of their own originality. Second, we argue that nonprofit research in Japan is constantly looking for an ideal relationship with practice. Research appears to have not fully caught up with the changing landscape of nonprofits in action, and research has not been able to guide practice into the best next steps. The article highlights characteristics of nonprofit sector research in Japan as well as suggesting key questions for future research.
The authors introduce the concept of finitely coloured equivalence for unital -homomorphisms between -algebras, for which unitary equivalence is the -coloured case. They use this notion to classify -homomorphisms from separable, unital, nuclear -algebras into ultrapowers of simple, unital, nuclear, -stable -algebras with compact extremal trace space up to -coloured equivalence by their behaviour on traces; this is based on a -coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, -stable -algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a “homotopy equivalence implies isomorphism” result for large classes of -algebras with finite nuclear dimension.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.