Lectures on operator theory

著者

• Bhat, B. V. Rajarama
• Elliott, George A.
• Fillmore, Peter A.

書誌事項

Lectures on operator theory

B.V. Rajarama Bhat, George A. Elliott, Peter A. Fillmore, editors

（Fields Institute monographs, 13）

American Mathematical Society, c1999

注記

Includes bibliography

内容説明・目次

内容説明

This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of $C^*$-algebras and von Neumann algebras, together with recent work on the classification of $C^*$-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.

目次

C*-algebras: C*-algebras: Definitions and examples C*-algebras: Constructions Positivity in C*-algebras K-theory I Tensor products of C*-algebras Crossed products I Crossed products II: Examples Free products K-theory II: Roots in topology and index theory C*-algebraic K-theory made concrete, or trick or treat with $2 \times 2$ matrix algebras Dilation theory C*-algebras and mathematical physics C*-algebras and several complex variables von Neumann algebras: Basic structure of von Neumann algebras von Neumann algebras (Type $II_1$ factors) The equivalence between injectivity and hyperfiniteness, part I The equivalence between injectivity and hyperfiniteness, part II On the Jones index Introductory topics on subfactors The Tomita-Takesaki theory explained Free products of von Neumann algebras Semigroups of endomorphisms of $\mathcal{B}(H)$ Classification of C*-algebras AF-algebras and Bratteli diagrams Classification of amenable C*-algebras I Classification of amenable C*-algebras II Simple AI-algebras and the range of the invariant Classification of simple purely infinite C*-algebras I Hereditary subalgebras of certain simple non real rank zero C*-algebras: Preface Introduction The isomorphism theorem The range of the invariant Bibliography Paths on Coxeter diagrams: From platonic solids and singularities to minimal models and subfactors: Preface/Acknowledgements The Kauffman-Lins recoupling theory Graphs and connections An extension of the recoupling model Relations to minimal models and subfactors Bibliography.

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詳細情報

• NII書誌ID(NCID): BA44839320
• ISBN:
  • 0821808214
• LCCN: 99052254
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: xi, 323 p.
• 大きさ: 27 cm
• 分類:
  • LCC : QA387.L42
  • DC21 : 512/.55
• 件名:
  • LCSH : Lie groups--Congresses
  • LCSH : Representations of groups--Congresses
• 親書誌ID:
  • BA22564116