当B为简单连续尺度时exu(⋅，B)的函子性质

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-03-15 DOI:10.7900/jot.2018mar18.2223

P. W. Ng, Tracy Robin

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引用次数: 9

摘要

本文定义了两个函子Ext和Extu，它们以比KK1更精细的方式捕获扩展的酉等价类。证明了对于每一个可分离核C * -代数A和每一个σ-一元非一元简单连续尺度C * -代数B, Ext(A,B)是一个阿贝尔群。exu也有类似的结果。研究了协变函子X∈exu (C(X)，B)的一些函子性质，其中X作用于紧度量空间的范畴。

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Functorial properties of Extu(⋅,B) when B is simple with continuous scale

In this note we define two functors Ext and Extu which capture unitary equivalence classes of extensions in a manner which is finer than KK1. We prove that for every separable nuclear C∗-algebra A, and for every σ-unital nonunital simple continuous scale C∗-algebra B, Ext(A,B) is an abelian group. We have a similar result for Extu. We study some functorial properties of the covariant functor X↦Extu(C(X),B), where X ranges over the category of compact metric spaces.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.