An enrichment of KK -theory over the category of symmetric spectra
An enrichment of KK -theory over the category of symmetric spectra
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KK理论在对称谱范畴上的丰富
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
S. Stolz
中科院分区：
文献类型：
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作者：
M. Joachim;S. Stolz
在（6）中，Higson证明了，如果把可分C β-代数A，B的KK（A，B）看作范畴KK的态射集，就能最好地理解卡斯帕罗夫KK-理论群的形式性质。在范畴语言中，复合和外KK-积赋予KK一个对称么半群范畴的结构，该范畴在交换群上是丰富的。我们证明了KK的富集可以提升到对称谱范畴上的富集。
In (6) Higson showed that the formal properties of the Kasparov KK-theory groups are best understood if one regards KK(A, B) for separable C�-algebras A, B as the morphism set of a category KK. In category language the composition and exterior KK- product give KK the structure of a symmetric monoidal category which is enriched over abelian groups. We show that the enrichment of KK can be lifted to an enrichment over the category of symmetric spectra.