Locally Ah Algebras

Author : Huaxin Lin
Publisher : American Mathematical Soc.
ISBN 13 : 147041466X
Total Pages : 122 pages
Book Rating : 4.65/5 ( download)

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Download or read book Locally AH-Algebras written by Huaxin Lin and published by American Mathematical Soc.. This book was released on 2015-04-09 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unital separable -algebra, is said to be locally AH with no dimension growth if there is an integer satisfying the following: for any and any compact subset there is a unital -subalgebra, of with the form , where is a compact metric space with covering dimension no more than and is a projection, such that The authors prove that the class of unital separable simple -algebras which are locally AH with no dimension growth can be classified up to isomorphism by their Elliott invariant. As a consequence unital separable simple -algebras which are locally AH with no dimension growth are isomorphic to a unital simple AH-algebra with no dimension growth.

Author : Jan R. Strooker
Publisher : Cambridge University Press
ISBN 13 : 0521315263
Total Pages : 325 pages
Book Rating : 4.65/5 ( download)

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Download or read book Homological Questions in Local Algebra written by Jan R. Strooker and published by Cambridge University Press. This book was released on 1990-09-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster's construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be 'lifted' from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.

Author : Bruce Blackadar
Publisher : Springer Science & Business Media
ISBN 13 : 3540285172
Total Pages : 530 pages
Book Rating : 4.75/5 ( download)

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Download or read book Operator Algebras written by Bruce Blackadar and published by Springer Science & Business Media. This book was released on 2006-03-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.

Author : Birger Iversen
Publisher : Springer
ISBN 13 : 3540383387
Total Pages : 115 pages
Book Rating : 4.83/5 ( download)

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Download or read book Generic Local Structure of the Morphisms in Commutative Algebra written by Birger Iversen and published by Springer. This book was released on 2006-11-15 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joachim Cuntz
Publisher : Springer Science & Business Media
ISBN 13 : 364257288X
Total Pages : 281 pages
Book Rating : 4.83/5 ( download)

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Download or read book C*-Algebras written by Joachim Cuntz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of articles provided by the participants of the SFB-workshop on C*-algebras, March 8 - March 12, 1999 which was held at the Sonderforschungsbereich "Geometrische Strukturen in der reinen Mathematik" of the University of Münster, Germany. The aim of the workshop was to bring together leading experts in the theory of C* -algebras with promising young researchers in the field, and to provide a stimulating atmosphere for discussions and interactions between the participants. There were 19 one-hour lectures on various topics like - classification of nuclear C* -algebras, - general K-theory for C* -algebras, - exact C* -algebras and exact groups, - C*-algebras associated to (infinite) matrices and C*-correspondences, - noncommutative prob ability theory, - deformation quantization, - group C* -algebras and the Baum-Connes conjecture, giving a broad overview of the latest developments in the field, and serving as a basis for discussions. We, the organizers of the workshop, were greatly pleased with the excellence of the lectures and so were led to the idea of publishing the proceedings of the conference. There are basically two kinds of contributions. On one side there are several articles giving surveys and overviews on new developments and im portant results of the theory, on the other side one finds original articles with interesting new results.

Author : Gábor Hofer-Szabó
Publisher : Springer
ISBN 13 : 3319739336
Total Pages : 59 pages
Book Rating : 4.35/5 ( download)

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Download or read book Quantum Theory and Local Causality written by Gábor Hofer-Szabó and published by Springer. This book was released on 2018-02-20 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book summarizes the results of research the authors have pursued in the past years on the problem of implementing Bell's notion of local causality in local physical theories and relating it to other important concepts and principles in the foundations of physics such as the Common Cause Principle, Bell's inequalities, the EPR (Einstein-Podolsky-Rosen) scenario, and various other locality and causality concepts. The book is intended for philosophers of science with an interest in the formal background of sciences, philosophers of physics and physicists working in foundation of physics.

Author : Richard Herman
Publisher : CRC Press
ISBN 13 : 1439863512
Total Pages : 336 pages
Book Rating : 4.10/5 ( download)

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Download or read book Operator Algebras, Mathematical Physics, and Low Dimensional Topology written by Richard Herman and published by CRC Press. This book was released on 1993-11-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena.

Author : M. Rordam
Publisher : Springer Science & Business Media
ISBN 13 : 3662048256
Total Pages : 206 pages
Book Rating : 4.52/5 ( download)

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Download or read book Classification of Nuclear C*-Algebras. Entropy in Operator Algebras written by M. Rordam and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. Afactor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, II and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functions on a compact space - its spectrum. Since then the subject of operator algebras has evolved into a huge mathematical endeavour interacting with almost every branch of mathematics and several areas of theoretical physics.

Author : Stefaan Caenepeel
Publisher : CRC Press
ISBN 13 : 1482270390
Total Pages : 328 pages
Book Rating : 4.96/5 ( download)

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Download or read book Hopf Algebras and Quantum Groups written by Stefaan Caenepeel and published by CRC Press. This book was released on 2019-05-07 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras, including multiplier Hopf algebras and quantum g

Author : Henri Lombardi
Publisher : Springer
ISBN 13 : 940179944X
Total Pages : 996 pages
Book Rating : 4.47/5 ( download)

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Download or read book Commutative Algebra: Constructive Methods written by Henri Lombardi and published by Springer. This book was released on 2015-07-22 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.