非交换几何(英文影印版)
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- 原书名： Noncommutative Geometry
- 原出版社： Academic Press
- 作者： Alain Connes
- 出版社：世界图书出版公司
- ISBN：9787506292160
- 上架时间：2008-8-21
- 出版日期：2008 年6月
- 开本：16开
- 页码：661
- 版次：1-1
- 所属分类：
数学 > 几何及拓扑 > 综合
内容简介回到顶部↑
his book is the English version of the French “Geometrie non commutative” published by InterEditions Paris （1990）. After the excellent initial translation by S.K. Berberian, a considerable amount of rewriting was done and many additions made, multiplying by 3.8 the size of the original manuscript. In particular the present text contains several unpublished results.
目录回到顶部↑
tabif of contents
preface
introduction
i noncommutative spaces and measure theory
1. heisenberg and the noncommutative algebra of physical quantities associated to a microscopic system
2. statistical state of a macroscopic system and quantum statistical mechanics
3. modular theory and the classification of factors
4. geometric examples of yon neumann algebras: measure theory of noncommutative spaces
α classical lebesgue measure theory
β. foliations
γ. the von neumann algebra of a foliation
5. the index theorem for measured foliations
α. transverse measures for follations
β. the ruelle-sullivan cycle and the elder number of a measured foliation
γ. the index theorem for measured foliations
a. appendix: transverse measures and averaging sequences
b. appendl, c abstract transverse measure theory
c. appendix: noncommutative spaces and set theory
ii. topology and k-theory..
1. c*-algebras and their k-theory
preface
introduction
i noncommutative spaces and measure theory
1. heisenberg and the noncommutative algebra of physical quantities associated to a microscopic system
2. statistical state of a macroscopic system and quantum statistical mechanics
3. modular theory and the classification of factors
4. geometric examples of yon neumann algebras: measure theory of noncommutative spaces
α classical lebesgue measure theory
β. foliations
γ. the von neumann algebra of a foliation
5. the index theorem for measured foliations
α. transverse measures for follations
β. the ruelle-sullivan cycle and the elder number of a measured foliation
γ. the index theorem for measured foliations
a. appendix: transverse measures and averaging sequences
b. appendl, c abstract transverse measure theory
c. appendix: noncommutative spaces and set theory
ii. topology and k-theory..
1. c*-algebras and their k-theory
)
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