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Combinatorial Set Theory Of C Algebras


Combinatorial Set Theory Of C Algebras
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Combinatorial Set Theory Of C Algebras


Combinatorial Set Theory Of C Algebras
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Author : Ilijas Farah
language : en
Publisher: Springer Nature
Release Date : 2019-12-24

Combinatorial Set Theory Of C Algebras written by Ilijas Farah and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-24 with Mathematics categories.


This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.



Combinatorial Group Theory


Combinatorial Group Theory
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Author : Wilhelm Magnus
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

Combinatorial Group Theory written by Wilhelm Magnus and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.


This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.



C Algebras And Their Automorphism Groups


C Algebras And Their Automorphism Groups
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Author : Søren Eilers
language : en
Publisher: Academic Press
Release Date : 2018-08-08

C Algebras And Their Automorphism Groups written by Søren Eilers and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-08 with Mathematics categories.


This elegantly edited landmark edition of Gert Kjærgård Pedersen's C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of Søren Eilers and Dorte Olesen, the second edition modernizes Pedersen's work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author's later work. - Covers basic C*-algebras theory in a short and appealingly elegant way, with a few additions and corrections given to the editors by the original author - Expands coverage to select contemporary accomplishments in C*-algebras of direct relevance to the scope of the first edition, including aspects of K-theory and set theory - Identifies key modern literature in an updated bibliography with over 100 new entries, and greatly enhances indexing throughout - Modernizes coverage of algebraic problems in relation to the theory of unitary representations of locally compact groups - Reviews mathematical accomplishments of Gert K. Pedersen in comments and a biography



Combinatorial Group Theory


Combinatorial Group Theory
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Author : Benjamin Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Combinatorial Group Theory written by Benjamin Fine and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


Eighteen papers presented during a special AMS session designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results.



Classical Topology And Combinatorial Group Theory


Classical Topology And Combinatorial Group Theory
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Classical Topology And Combinatorial Group Theory written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.



Semigroup Theory And Its Applications


Semigroup Theory And Its Applications
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Author : Alfred Hoblitzelle Clifford
language : en
Publisher: Cambridge University Press
Release Date : 1996-05-16

Semigroup Theory And Its Applications written by Alfred Hoblitzelle Clifford and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-16 with Mathematics categories.


This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.



Topics In Symbolic Dynamics And Applications


Topics In Symbolic Dynamics And Applications
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Author : F. Blanchard
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-29

Topics In Symbolic Dynamics And Applications written by F. Blanchard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-29 with Mathematics categories.


This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.



Surveys In Combinatorics 2007


Surveys In Combinatorics 2007
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Author : Anthony Hilton
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-05

Surveys In Combinatorics 2007 written by Anthony Hilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-05 with Mathematics categories.


Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.



The Navier Stokes Equations


The Navier Stokes Equations
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Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 2006-05-25

The Navier Stokes Equations written by P. G. Drazin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-25 with Mathematics categories.


This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.



Poisson Geometry Deformation Quantisation And Group Representations


Poisson Geometry Deformation Quantisation And Group Representations
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Author : Simone Gutt
language : en
Publisher: Cambridge University Press
Release Date : 2005-06-21

Poisson Geometry Deformation Quantisation And Group Representations written by Simone Gutt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-21 with Mathematics categories.


An accessible introduction to Poisson geometry suitable for graduate students.