ON Z/2Z-GRADED KK-THEORY AND ITS RELATION WITH THE GRADED Ext-FUNCTOR
ON Z/2Z-GRADED KK-THEORY AND ITS RELATION WITH THE GRADED Ext-FUNCTOR
复制标题
Z/2Z分级KK理论及其与分级Ext-FUNCTOR的关系
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
U. Haag
中科院分区：
文献类型：
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作者：
U. Haag
本文研究了Z2-分次C-代数的KK-理论与Kasparov扩张函子之间的关系。我们使用的方法类似于J.坎茨在未评分案例中的图片。我们证明了分次Ext-函子与Z2-等变KK-理论重合，直到维移为止，并且分次KK-函子可以用Z2-等变KK-理论来表示。我们得到了一个与这两种理论相关的(双)精确序列。
This paper studies the relation between KK-theory and the Ext- functor of Kasparov for Z2-graded C -algebras. We use an approach similar to the picture of J. Cuntz in the ungraded case. We show that the graded Ext- functor coincides with Z2-equivariant KK-theory up to a shift in dimension and that the graded KK-functor can be expressed in terms of Z2-equivariant KK-theory. We derive a (double) exact sequence relating both theories.