Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
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语言 英语 ● 格式 PDF ● 网页 96 ● ISBN 9781400881468 ● 文件大小 5.6 MB ● 出版者 Princeton University Press ● 市 Princeton ● 国家 US ● 发布时间 2016 ● 下载 24 个月 ● 货币 EUR ● ID 5492005 ● 复制保护 Adobe DRM
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