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Author : Ilijas Farah
Publisher : American Mathematical Society
ISBN 13 : 1470447576
Total Pages : 127 pages
Book Rating : 4.4/5 (74 download)
Download or read book Model Theory of $mathrm {C}^*$-Algebras written by Ilijas Farah and published by American Mathematical Society. This book was released on 2021-09-24 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Ilijas Farah
Publisher :
ISBN 13 : 9781470466268
Total Pages : 142 pages
Book Rating : 4.4/5 (662 download)
Download or read book Model Theory of Mathrm C*-algebras written by Ilijas Farah and published by . This book was released on 2021 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M Droste
Publisher : CRC Press
ISBN 13 : 1000725278
Total Pages : 516 pages
Book Rating : 4.0/5 (7 download)
Download or read book Advances in Algebra and Model Theory written by M Droste and published by CRC Press. This book was released on 2019-08-16 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
Author : Isaac Goldbring
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110768283
Total Pages : 498 pages
Book Rating : 4.1/5 (17 download)
Download or read book Model Theory of Operator Algebras written by Isaac Goldbring and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
Author : Annalisa Marcja
Publisher : Springer Science & Business Media
ISBN 13 : 9400708122
Total Pages : 377 pages
Book Rating : 4.4/5 (7 download)
Download or read book A Guide to Classical and Modern Model Theory written by Annalisa Marcja and published by Springer Science & Business Media. This book was released on 2012-09-10 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.
Author :
Publisher : Elsevier
ISBN 13 : 0080528341
Total Pages : 441 pages
Book Rating : 4.0/5 (85 download)
Download or read book General Theory of C*-Algebras written by and published by Elsevier. This book was released on 2001-07-11 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Theory of C*-Algebras
Author : Kenneth R. Davidson
Publisher : American Mathematical Soc.
ISBN 13 : 0821805991
Total Pages : 326 pages
Book Rating : 4.8/5 (218 download)
Download or read book C*-Algebras by Example written by Kenneth R. Davidson and published by American Mathematical Soc.. This book was released on 1996 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory graduate level text presenting the basics of the subject through a detailed analysis of several important classes of C*-algebras, those which are the basis of the development of operator algebras. Explains the real examples that researchers use to test their hypotheses, and introduces modern concepts and results such as real rank zero algebras, topological stable rank, and quasidiagonality. Includes chapter exercises with hints. For graduate students with a foundation in functional analysis. Annotation copyright by Book News, Inc., Portland, OR
Author : Bradd T. Hart
Publisher : Springer Science & Business Media
ISBN 13 : 9401589232
Total Pages : 285 pages
Book Rating : 4.4/5 (15 download)
Download or read book Algebraic Model Theory written by Bradd T. Hart and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.
Author : Bruce Blackadar
Publisher : Taylor & Francis
ISBN 13 : 9783540284864
Total Pages : 552 pages
Book Rating : 4.2/5 (848 download)
Download or read book Operator Algebras written by Bruce Blackadar and published by Taylor & Francis. This book was released on 2006 with total page 552 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 : Deirdre Haskell
Publisher : Cambridge University Press
ISBN 13 : 9780521780681
Total Pages : 244 pages
Book Rating : 4.7/5 (86 download)
Download or read book Model Theory, Algebra, and Geometry written by Deirdre Haskell and published by Cambridge University Press. This book was released on 2000-07-03 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
Author : Bradd T. Hart
Publisher : American Mathematical Soc.
ISBN 13 : 0821827057
Total Pages : 121 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on Algebraic Model Theory written by Bradd T. Hart and published by American Mathematical Soc.. This book was released on 2002 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thin volume contains three sets of lecture notes, representing recent developments in differential scales, o-minimality, and tame convergence theory. The first lecture outlines the basics of differential fields, and then addresses topics like differential varieties and tangent bundles, Kolchin's logarithmic derivative, and Manin's construction. The second describes added exponentation, T-convexity and tame extensions, piecewise linearity, the Wilkie inequality, and the valuation property. And the third considers the structure and varieties of finite algebra. No index. c. Book News Inc.
Author : Chen Chung Chang
Publisher : Courier Corporation
ISBN 13 : 0486488217
Total Pages : 674 pages
Book Rating : 4.4/5 (864 download)
Download or read book Model Theory written by Chen Chung Chang and published by Courier Corporation. This book was released on 2012-01-01 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.
Author : Xavier Caicedo
Publisher : CRC Press
ISBN 13 : 9780824719708
Total Pages : 474 pages
Book Rating : 4.7/5 (197 download)
Download or read book Models, Algebras, and Proofs written by Xavier Caicedo and published by CRC Press. This book was released on 1998-11-05 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts worldwide."
Author : Lou van den Dries
Publisher : Springer
ISBN 13 : 3642549365
Total Pages : 201 pages
Book Rating : 4.6/5 (425 download)
Download or read book Model Theory in Algebra, Analysis and Arithmetic written by Lou van den Dries and published by Springer. This book was released on 2014-09-20 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.
Author : Bogdan Bojarski
Publisher : Springer Science & Business Media
ISBN 13 : 3764376872
Total Pages : 332 pages
Book Rating : 4.7/5 (643 download)
Download or read book C*-algebras and Elliptic Theory written by Bogdan Bojarski and published by Springer Science & Business Media. This book was released on 2006-11-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, operator and equivariant K-theory, Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others, and applications in mathematical physics. The wide spectrum of subjects reflects the diverse directions of research for which the starting point was the Atiyah-Singer index theorem.
Author : Philipp Rothmaler
Publisher : CRC Press
ISBN 13 : 0429668503
Total Pages : 324 pages
Book Rating : 4.4/5 (296 download)
Download or read book Introduction to Model Theory written by Philipp Rothmaler and published by CRC Press. This book was released on 2018-12-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.
Author : Robert Doran
Publisher : Routledge
ISBN 13 : 135146177X
Total Pages : 450 pages
Book Rating : 4.3/5 (514 download)
Download or read book Characterizations of C* Algebras written by Robert Doran and published by Routledge. This book was released on 2018-05-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs ... provides complete proofs of theGelfand-Naimark theorems as well as refinements and extensions of the original axioms. . . gives applications of the theorems to topology, harmonic analysis. operator theory.group representations, and other topics ... treats Hermitian and symmetric *-algebras.algebras with and without identity, and algebras with arbitrary (possibly discontinuous)involutions . . . includes some 300 end-of-chapter exercises . . . offers appendices on functionalanalysis and Banach algebras ... and contains numerous examples and over 400 referencesthat illustrate important concepts and encourage further research.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition , it makes an outstanding reference for physicists, research mathematicians in analysis,and applied scientists using C*-algebras in such areas as statistical mechanics, quantumtheory. and physical chemistry.
