Theory of operator algebras  1 ~ 3

M. Takesaki

From the reviews: "These three bulky volumes [EMS 124, 125, 127] [!] provide an introduction to this rapidly developing theory. [...] 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

「Nielsen BookData」より

From the reviews: "These three bulky volumes [EMS 124, 125, 127] [...] provide an introduction to this rapidly developing theory. [...] 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

「Nielsen BookData」より

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

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • VI Left Hilbert Algebras.- VII Weights.- VIII Modular Automorphism Groups.- IX Non-Commutative Integration.- X Crossed Products and Duality.- XI Abelian Automorphism Group.- XII Structure of a von Neumann Algebra of Type III.- Notation Index.

「Nielsen BookData」より

[目次]

  • XIII Ergodic Transformation Groups and the Associated von Neumann Algebras.- XIV Approximately Finite Dimensional von Neumann Algebras.- XV Nuclear C*-Algebras.- XVI Injective von Neumann Algebras.- XVII Non-Commutative Ergodic Theory.- XVIII Structure of Approximately Finite Dimensional Factors.- XIX Subfactors of an Approximately Finite Dimensional Factor of Type II1.- Notation Index.

「Nielsen BookData」より

[目次]

  • XIII Ergodic Transformation Groups and the Associated von Neumann Algebras.- XIV Approximately Finite Dimensional von Neumann Algebras.- XV Nuclear C*-Algebras.- XVI Injective von Neumann Algebras.- XVII Non-Commutative Ergodic Theory.- XVIII Structure of Approximately Finite Dimensional Factors.- XIX Subfactors of an Approximately Finite Dimensional Factor of Type II1.- Notation Index.

「Nielsen BookData」より

[目次]

  • Fundaments of Banach Algebras and C*-Algebras.- Topologies and Density Theorems in Operator Algebras.- Conjugate Spaces.- Tensor Products of Operator Algebras and Direct Integrals.- Types of von Neumann Algebras and Traces.- Appendix: Polish Spaces and Standard Borel Spaces.

「Nielsen BookData」より

この本の情報

書名 Theory of operator algebras
著作者等 竹崎 正道
Takesaki Masamichi
書名別名 Theory of operator algebra
シリーズ名 Encyclopaedia of mathematical sciences
巻冊次 1
2
3
出版元 Springer
刊行年月 c2002-c2003
版表示 1st ed. 1979. 2nd printing 2001
ページ数 3 v.
大きさ 25 cm
ISBN 3540429131
354042914X
354042248X
9783642076886
NCID BA54619218
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
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