This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.
Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C*-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A).
The contents of this book cover K-theory for operator algebras, modular theory by example, modular theory for the Von Neumann algebras of local quantum physics, and much more.
A bilingual edition of poems by the award-winning Spanish poet. Pere Gimferrer has been writing poetry for more than fifty years in several languages, restoring and expanding upon avant-garde tendencies in poetry that had been abandoned in Spain after the Spanish Civil War. Of his second book, The Sea Aflame, Octavio Paz wrote: “Our language will be, already is, larger by one poet.” In 1970, with Mirrors, Gimferrer turned to Catalan, his mother tongue. Since then, he has won major Catalan and Spanish prizes for his work, which, along with poetry, includes writings on film and art history, translations, and novels. This bilingual volume, the first to draw on all phases of Gimferrer’s career as a poet—from Message from the Tetrarch, published when he was eighteen, to selections from his recent verses in Italian—is an ideal introduction to a writer who, in the words of Roberto Bolaño, “is a great poet and also knows everything.”
It demonstrates that, even though Washington Irving's sojourn in Spain from 1826 until 1829 marked a distinct shift in the literary commodification of things Spanish, the transition from an enlightened to a romantic representation of Spain was a process triggered by a group of writers who produced Spanish travel narratives of lasting influence.
The Poetry of the Word in Psychoanalysis presents selected key papers by leading Spanish psychoanalyst Pere Folch Mateu. The pieces chosen for this book address clinical, psychopathological, technical and theoretical issues approached in Folch Mateu’s unique style, providing an introduction to his impressive output. Folch Mateu integrates a wide range of psychoanalytic sources – Freud, Klein and Bion, and French psychoanalysis – in approaching topics like the psychoanalytic process, obsessive modes of control, the pathology of the negative and intellectual inhibition. The author’s interest in exploring the interactions between the analyst and the patient in minute detail through the course of the psychoanalytic process is a key theme that emerges throughout, as is his devotion to the intersections between music, literature and psychoanalysis. The Poetry of the Word in Psychoanalysis will be of great interest to psychoanalysts and psychotherapists in practice and in training, particularly those wishing to explore the boundaries of psychoanalysis and the integration of different psychoanalytic approaches.
Here are the best short stories and novel extracts from the Pikihuia Awards for Māori writers 2017 as judged by Whiti Hereaka, Paula Morris, Poia Rewi and Rawinia Higgins. The book contains the stories from the finalists for Best Short Story written in English, Best Short Story written in te reo Māori and Best Novel Extract categories. This writing competition, held every two years, is organised by the Māori Literature Trust and Huia Publishers as a way to promote Māori writers and their work. The awards and the collection of finalists’ fiction celebrate Māori writing and bring new writers to light.
This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.
Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C*-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A).
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