Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
Proceedings from the Clay Mathematics Institute Instructional Symposium, Held in Conjuction with the AMS-IMS-SIAM Joint Summer Research Conference on Noncommutative Geometry, June 18-29, 2000, Mount Holyoke College, South Hadley, MA
Proceedings from the Clay Mathematics Institute Instructional Symposium, Held in Conjuction with the AMS-IMS-SIAM Joint Summer Research Conference on Noncommutative Geometry, June 18-29, 2000, Mount Holyoke College, South Hadley, MA
In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. These events were held at Mount Holyoke College in Massachusetts from June 18 to 29, 2000. The Instructional Symposium consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Those expository lectures have been edited and are reproduced in this volume. The lectures of Rosenberg and Weinberger discuss various applications of noncommutative geometry to problems in ``ordinary'' geometry and topology. The lectures of Lagarias and Tretkoff discuss the Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory. Higson gives an account of the ``residue index theorem'' of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single mathematician, Alain Connes. The present volume gives an extended introduction to several aspects of Connes' work in this fascinating area. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).
This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.
This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space
Enlightened Oxford aims to discern, establish, and clarify the multiplicity of connections between the University of Oxford, its members, and the world outside; to offer readers a fresh, contextualised sense of the University's role in the state, in society, and in relation to other institutions between the Williamite Revolution and the first decade of the nineteenth century, the era loosely describable (though not without much qualification) as England's ancien regime. Nigel Aston asks where Oxford fitted in to the broader social and cultural picture of the time, locating the University's importance in Church and state, and pondering its place as an institution that upheld religious entitlement in an ever-shifting intellectual world where national and confessional boundaries were under scrutiny. Enlightened Oxford is less an inside history than a consideration of an institutional presence and its place in the life of the country and further afield. While admitting the degree of corporate inertia to be found in the University, there was internal scope for members so inclined to be creative in their teaching, open new research lines, and be unapologetic Whigs rather than unrepentant Tories. For if Oxford was a seat of learning rooted in its past - and with an increasing antiquarian awareness of its inheritance - yet it had a surprising capacity for adaptation, a scope for intellectual and political pluralism that was not incompatible with enlightened values.
Tears of laughter' examines the interactions of comedy and drama in three vital thematic strands of British cinema during the 1990s: comedies exploring issues of class, culture and community in British society, 'ethnic' comedy-dramas engaging with complex issues of identity and allegiance in modern Britain, and romantic comedies featuring characters searching (somewhat desperately or frantically) for a suitable and desirable long-term or short-term partner. Films to be discussed in detail include 'Brassed Off' (1996), 'The Full Monty' (1997), 'East is East' (1999), 'Four Weddings and a Funeral' (1994), 'Notting Hill' (1999) and a post-1990s romantic comedy, 'Love Actually' (2003). The study discusses these specific films and a range of other 1990s British comedy-drama films within the context of community-orientated Ealing comedy classics, contentious situation comedies treating race relations as both a laughing matter and a site of conflict ('Till Death Us Do Part' and 'Love Thy Neighbour'), and romantic comedies set and produced in Britain. It is aimed at film studies academics, students and film enthusiasts.
The world's fascination with Bond is unstoppable. James Bond is the greatest British fictional hero of the post-war era. He also has a huge following in the US - and around the world - as a legendary Cold War warrior, and now as a daredevil able to take on the villains of the post-Cold War world. The Bond books are all in print. Today, Sebastian Faulks is writing new stories while Charlie Higson is writing children's versions. In this comprehensive guide to Ian Fleming, the books, the films and the world that was created out of 007, Nigel Cawthorne uncovers Bond's allure. It comes with special sections on the main characters - Q, M, the Bond Girls, and the women who first inspired them; the cars, and the incomparable baddies. It will be the ideal gift for fans and aficionados alike and will be published to coincide with the 50th anniversary of DOCTOR NO; the new film is scheduled for autumn 2012.
Strategic Management for Travel and Tourism is the must-have text for students studying travel and tourism. It brings theory to life by using industry-based case studies, and in doing so, 'speaks the language' of the Travel and Tourism student. Among the new features and topics included in this edition are: * international case studies from large-scale businesses such as Airtours, MyTravel and South West Airlines * user-friendly applications of strategic management theory, such as objectives, products and markets and strategic implementation, together with illustrative case studies, and longer case studies for seminar work and summaries * contemporary strategic issues affecting travel and tourism organizations, such as vertical integration and strategic alliances Strategic Management for Travel and Tourism is a well-rounded book, ideal for all undergraduate and postgraduate students focusing on strategy in travel and tourism.
Social work engages with people across the life course, and social workers are expected to work with groups of people at very different stages of their life. Developing a thorough understanding of human growth to encompass the whole of the life course is therefore a central part of all qualifying social work training and practice. A clear favourite among students and lecturers, this bestselling book introduces the main theoretical models in a clear and accessible way before applying them to various stages of the life course. From infants to older adults, the author uses case studies and practice examples to bring social work methods, skills and principles to life.
This book explores how British filmmakers of the 2000s engaged with the themes of love, sex and desire in a wide variety of movies. It ranges from powerful contemporary dramas such as Kidulthood, Closer and Disobedience to the lighter mood of the Bridget Jones series. It also analyses how the lives, loves and traumas of historical figures such as Oscar Wilde, Sylvia Plath and Iris Murdoch were dramatised on film. The book will appeal to literature enthusiasts, film students and readers interested in exploring how we may currently live out our hopes, fears and dreams in relation to sexual matters and affairs of the heart.
Lawrence Alloway (1926–90) was one of the most influential and widely respected art writers of the postwar years. A key interpreter of pop art, abstraction, and land art, he was also involved with the realist revival and the early feminist movement in art. Art and Pluralism provides close and critical readings of Alloway's writings and sets his work in the context of the London and New York art worlds from the 1950s to the early 1980s. Nigel Whiteley underlines the particular importance of pluralism and its relationship with the artistic value systems that bookended it—formalism and postmodernism—shedding new light on postwar visual culture as a whole.
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