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C Algebras and Their Automorphism Groups

C  Algebras and Their Automorphism Groups
  • Author : Søren Eilers
  • Publsiher : Academic Press
  • Release : 08 August 2018
  • ISBN : 0128141239
  • Pages : 538 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKC Algebras and Their Automorphism Groups

Summary:
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*-algebra 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

C*-Algebras and Their Automorphism Groups
  • Author : Søren Eilers,Dorte Olesen
  • Publisher : Academic Press
  • Release : 08 August 2018
GET THIS BOOKC*-Algebras and Their Automorphism Groups

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


Theory of Operator Algebras II

Theory of Operator Algebras II
  • Author : Masamichi Takesaki
  • Publisher : Springer Science & Business Media
  • Release : 01 November 2002
GET THIS BOOKTheory of Operator Algebras II

Together with Theory of Operator Algebras I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. From the reviews: "These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." --ACTA SCIENTIARUM MATHEMATICARUM


Theory of Operator Algebras I

Theory of Operator Algebras I
  • Author : M. Takesaki
  • Publisher : Springer Science & Business Media
  • Release : 20 November 2001
GET THIS BOOKTheory of Operator Algebras I

Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three-volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.


Clifford Algebras and their Applications in Mathematical Physics

Clifford Algebras and their Applications in Mathematical Physics
  • Author : F. Brackx,R. Delanghe,H. Serras
  • Publisher : Springer Science & Business Media
  • Release : 31 October 1993
GET THIS BOOKClifford Algebras and their Applications in Mathematical Physics

This International Conference on Clifford AlgebrfU and Their Application, in Math ematical Phy,ic, is the third in a series of conferences on this theme, which started at the Univer,ity of Kent in Canterbury in 1985 and was continued at the Univer,iU de, Science, et Technique, du Languedoc in Montpellier in 1989. Since the start of this series of Conferences the research fields under consideration have evolved quite a lot. The number of scientific papers on Clifford Algebra, Clifford Analysis


The Minnesota Notes on Jordan Algebras and Their Applications

The Minnesota Notes on Jordan Algebras and Their Applications
  • Author : Max Koecher
  • Publisher : Springer Science & Business Media
  • Release : 17 September 1999
GET THIS BOOKThe Minnesota Notes on Jordan Algebras and Their Applications

This volume contains a re-edition of Max Koecher's famous Minnesota Notes. The main objects are homogeneous, but not necessarily convex, cones. They are described in terms of Jordan algebras. The central point is a correspondence between semisimple real Jordan algebras and so-called omega-domains. This leads to a construction of half-spaces which give an essential part of all bounded symmetric domains. The theory is presented in a concise manner, with only elementary prerequisites. The editors have added notes on each chapter



Introduction to Vertex Operator Algebras and Their Representations

Introduction to Vertex Operator Algebras and Their Representations
  • Author : James Lepowsky,Haisheng Li
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2021
GET THIS BOOKIntroduction to Vertex Operator Algebras and Their Representations

The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory. This book introduces the reader to the fundamental theory of vertex operator algebras and its basic techniques and examples. Beginning with a detailed presentation of the theoretical foundations and proceeding to a range of applications, the text includes a number of new,




First International Tainan-Moscow Algebra Workshop

First International Tainan-Moscow Algebra Workshop
  • Author : Yuen Fong,U. Knauer,Aleksandr Vasilʹevich Mikhalev
  • Publisher : De Gruyter
  • Release : 09 March 1996
GET THIS BOOKFirst International Tainan-Moscow Algebra Workshop

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.


Introduction to Vertex Operator Superalgebras and Their Modules

Introduction to Vertex Operator Superalgebras and Their Modules
  • Author : Xiaoping Xu
  • Publisher : Springer Science & Business Media
  • Release : 30 September 1998
GET THIS BOOKIntroduction to Vertex Operator Superalgebras and Their Modules

Vertex algebra was introduced by Boreherds, and the slightly revised notion "vertex oper­ ator algebra" was formulated by Frenkel, Lepowsky and Meurman, in order to solve the problem of the moonshine representation of the Monster group - the largest sporadie group. On the one hand, vertex operator algebras ean be viewed as extensions of eertain infinite-dimensional Lie algebras such as affine Lie algebras and the Virasoro algebra. On the other hand, they are natural one-variable generalizations of commutative associative algebras