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Model Theory of $mathrm {C}^*$-Algebras
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From the Basic Homotopy Lemma to the Classification of C*-algebras
This book examines some recent developments in the theory of -algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries. The book presents an outline of the background as well as some recent results of the classification of simple amenable -algebras, otherwise known as the Elliott program. This includes some stable uniqueness theorems and a revisiting of Bott maps via stable homotopy. Furthermore, -theory related rotation maps are introduced. The book is based on lecture notes from the CBMS lecture sequence at the University of Wyoming in the summer of 2015.
Handbook of Contemporary Cuba
Cuban studies is a highly dynamic field shaped by the country's distinctive political and economic circumstances. Mauricio A. Font and Carlos Riobo offer an up-to-date and comprehensive survey offering the latest research available from a broad array of disciplines and perspectives. The Handbook of Contemporary Cuba brings contributions from leading scholars from the United States, Cuba, Europe, and other world regions and introduces the reader to the key literature in the field in relation to rapidly changing events on the island and in global political and economic affairs. It also addresses timely developments in Cuban civil society and human rights. The guide also presents economic models and forecasts as well as analyses of the recent, pivotal Sixth Congress of the Communist Party of Cuba. For students, scholars, and experts in government, it is a vital addition to any collection on Latin American studies or global politics.
Tensor Products and Regularity Properties of Cuntz Semigroups
The Cuntz semigroup of a -algebra is an important invariant in the structure and classification theory of -algebras. It captures more information than -theory but is often more delicate to handle. The authors systematically study the lattice and category theoretic aspects of Cuntz semigroups. Given a -algebra , its (concrete) Cuntz semigroup is an object in the category of (abstract) Cuntz semigroups, as introduced by Coward, Elliott and Ivanescu. To clarify the distinction between concrete and abstract Cuntz semigroups, the authors call the latter -semigroups. The authors establish the existence of tensor products in the category and study the basic properties of this construction. They show that is a symmetric, monoidal category and relate with for certain classes of -algebras. As a main tool for their approach the authors introduce the category of pre-completed Cuntz semigroups. They show that is a full, reflective subcategory of . One can then easily deduce properties of from respective properties of , for example the existence of tensor products and inductive limits. The advantage is that constructions in are much easier since the objects are purely algebraic.
Handbook of Digital Twins
Over the last two decades, Digital Twins (DTs) have become the intelligent representation of future development in industrial production and daily life. Consisting of over 50 chapters by more than 100 contributors, this comprehensive handbook explains the concept, architecture, design specification and application scenarios of DTs. As a virtual model of a process, product or service to pair the virtual and physical worlds, DTs allow data analysis and system monitoring by using simulations. The fast-growing technology has been widely studied and developed in recent years. Featured with centralization, integrity and dynamics, it is cost-effective to drive innovation and performance. Many field...
SPIN
From the concert stage to the dressing room, from the recording studio to the digital realm, SPIN surveys the modern musical landscape and the culture around it with authoritative reporting, provocative interviews, and a discerning critical ear. With dynamic photography, bold graphic design, and informed irreverence, the pages of SPIN pulsate with the energy of today's most innovative sounds. Whether covering what's new or what's next, SPIN is your monthly VIP pass to all that rocks.
Last Words from Death Row
Norma Herrera lived her brother's personal hell as he waited on Death Row for the courts to decide if the new evidence that proved Leonel Herrera's innocence would save his life. Her book fulfills her last promise to Leo: to tell his story, to tell the truth. "Federal habeas courts do not sit to correct errors of fact but to ensure the individuals are not imprisoned in violation of the Constitution," it said. In other words, being falsely imprisoned is not a violation of your rights. Herrera was executed four months after the ruling. In his final statement he said: "I am innocent, innocent, innocent. I am an innocent man, and something very wrong is taking place tonight." Norma Herrera's boo...
