A new approach to bivariant K-theory.

机译：一种双变量K理论的新方法。

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

We construct a new bivariant theory, that we call KE-theory, which is intermediate between the KK-theory of Gennadi Kasparov, and the E-theory of Alain Connes and Nigel Higson. It has an associative product, and there are natural transformations KK G → KEG and KEG → EG which preserve the product structures of the three theories. We obtain in this way an explicit description of the map between KK-theory and E-theory, abstractly known to exist due to their characterization using category theory. In an effort to further elucidate the relationship with the other two bivariant theories, we study some of the functoriality properties of the KE-theory groups and of the product. The thesis concludes with an example: we show that the new theory recovers ordinary K-theory. All the C*-algebras that we consider are separable, graded, and admit an action of a locally compact sigma-compact Hausdorff group.

机译：我们构建了一个新的双变量理论，称为KE理论，它介于Gennadi Kasparov的KK理论与Alain Connes和Nigel Higson的E理论之间。它具有关联的乘积，并且存在自然转换KK G→KEG和KEG→EG，保留了三种理论的乘积结构。通过这种方式，我们获得了KK理论和E理论之间的映射的显式描述，由于使用类别理论进行了刻画，因此抽象已知存在。为了进一步阐明与其他两个双变量理论的关系，我们研究了KE理论组和产品的某些函数性质。本文以一个例子作为结尾：我们证明了新理论可以恢复普通的K理论。我们考虑的所有C *代数都是可分离的，分级的，并且接受局部紧凑的sigma紧致Hausdorff群的作用。

著录项

作者
Dumitrascu, Constantin Dorin.;
展开▼
作者单位

The Pennsylvania State University.;

展开▼
授予单位 The Pennsylvania State University.;
学科 Mathematics.
学位 Ph.D.
年度 2001
页码 97 p.
总页数 97
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
入库时间 2022-08-17 11:47:19

相似文献

外文文献
中文文献
专利

1. On the uniqueness of bivariant Chern class and bivariant Riemann-Roch transformations [J] . Brasselet JP, Schurmann J, Yokura S Advances in Mathematics . 2007,第2期

机译：关于双变量Chern类和双变量Riemann-Roch变换的唯一性
2. Excision in Bivariant Periodic Cyclic Cohomology: A Categorical Approach [J] . Guillermo Cortinas, Christian Valqui K-theory: An Interdisciplinary Journal for the Development, Application and Influence of K-Theory in the Mathematical Sciences . 2003,第2期

机译：双变量周期同调的Excision：一种分类方法
3. Systems of diagram categories and K-theory. II [J] . Grigory Garkusha Mathematische Zeitschrift . 2005,第3期

机译：图类别和K理论的系统。 II
4. A study on the comovement between warrants and the underlying stocks based on a time-varying relevant bivariant normal copula model [C] . Zeng Zhi-Jian, Xu Di 2011 International Conference on E-Business and E-Government . 2011

机译：基于时变相关双变量正态copula模型的权证与基础股票联动研究
5. An equivariant bivariant Chern character [D] . Raven, Jeff 2004

机译：等变双变陈恩字符
6. A Comparison of the Incidences of Venous Thromboembolism after Total Hip Arthroplasty between the Direct Anterior Approach and the Direct Lateral Approach Especially in the Early Period after Introduction of the Direct Anterior Approach [O] . Tetsuya Kawano, Hiroaki Kijima, Shin Yamada, 2020

机译：直接前途与直接横向术后静脉间关节置换术后静脉血栓栓塞术发生的比较特别是在引入直接前进后的早期
7. On the uniqueness of bivariant Chern class and bivariant Riemann–Roch transformations [O] . Brasselet Jean-Paul, Schürmann Jörg, Yokura Shoji 2007

机译：关于双变量Chern类和双变量Riemann-Roch变换的唯一性
8. A PROCEDURE FOR INTERPOLATING BIVARIANT DATA INFLUENCED BY RANDOM ERROR [R] . J. H. Van Sant 1967

机译：插入由随机误差影响的BIVaRIaNT数据的一个程序

A new approach to bivariant K-theory.

摘要

著录项

相似文献

相关主题

期刊订阅