Mathematics – K-Theory and Homology
Scientific paper
2006-09-07
Mathematics
K-Theory and Homology
to be published in "Journal of Homotopy and Related Structures"
Scientific paper
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 $\sigma$-unital trivially graded real or complex $C^*$-algebra
acted upon by a fixed compact metrizable group.
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