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Results tagged with kk-theory
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user 66649
KK-theory is a common generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras.
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Is $KK^G(\mathbb{C}^n,B)$ countably additive in $B$ and countable?
Let $G$ be a finite discrete groupoid, $A=\mathbb{C}^n$ a finite dimensional, commutative $C^*$-algebra and assume we have given a $G$-action on $A$. Note that the action of $G$ on $\mathbb{C}^n=C_0(\ …
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When is a cycle in $KK^G(A,A)$ with zero operator the identity cycle?
Given a cycle of the form $(\pi,H,0)$ in $KK^G(A,A)$, when is it equivalent to the identity cycle $1_A=(i_A,A,0)$?
The operator $T=0$, and $\pi:A \rightarrow L(H)$ may be injective.
Any criterions h …
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