C Algebras And Their Automorphism Groups
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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
C Algebras And Their Automorphism Groups
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Author : Gert Kjaergård Pedersen
language : en
Publisher:
Release Date : 1979
C Algebras And Their Automorphism Groups written by Gert Kjaergård Pedersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Structure Of Factors And Automorphism Groups
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Author : Masamichi Takesaki
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31
Structure Of Factors And Automorphism Groups written by Masamichi Takesaki 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 1983-12-31 with Mathematics categories.
This book describes the recent development in the structure theory of von Neumann algebras and their automorphism groups. It can be viewed as a guided tour to the state of the art.
An Introduction To K Theory For C Algebras
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Author : M. Rørdam
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-20
An Introduction To K Theory For C Algebras written by M. Rørdam 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 2000-07-20 with Mathematics categories.
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
C Algebras And Their Automorphism Groups
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Author : Gert Kjærgård Pedersen
language : en
Publisher:
Release Date : 1979
C Algebras And Their Automorphism Groups written by Gert Kjærgård Pedersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Derivations Dissipations And Group Actions On C Algebras
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Author : Ola Bratteli
language : en
Publisher: Springer
Release Date : 2006-12-08
Derivations Dissipations And Group Actions On C Algebras written by Ola Bratteli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
C Algebras 1943 1993
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
C Algebras 1943 1993 written by 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 1994 with C*-algebras categories.
Generators And Relations In Groups And Geometries
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Author : A. Barlotti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Generators And Relations In Groups And Geometries written by A. Barlotti 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.
Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance.
Operator Algebras And Their Applications
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Author : Robert S. Doran
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-07-28
Operator Algebras And Their Applications written by Robert S. Doran 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 2016-07-28 with Mathematics categories.
his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.
Classification Of Nuclear C Algebras Entropy In Operator Algebras
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Author : M. Rordam
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Classification Of Nuclear C Algebras Entropy In Operator Algebras written by M. Rordam 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 2013-04-18 with Mathematics categories.
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.