Algebraic K-theory of Fredholm modules and KK-theory

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Kasparov $KK$-groups $KK(A,B)$ are represented as homotopy groups of the Pedersen-Weibel nonconnective algebraic $K$-theory spectrum of the additive category of Fredholm $(A,B)$-bimodules for $A$ and $B$, respectively, a separable and $σ$-unital trivially graded real or complex $C^*$-algebra acted upon by a fixed compact metrizable group.
to be published in "Journal of Homotopy and Related Structures"

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K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/116423

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609208
 http://arxiv.org/abs/math/0609208

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arXiv