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arXiv · 2410.04150

On the $K$-theory in splitexact algebraic $KK$-theory

Bernhard Burgstaller
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Abstract

It is proven that in the universal splitexact equivariant algebraic $KK$-theory for algebras, the $K$-theory groups coincide with classical $K$-theory in the sense of Phillips. This partially answers a question raised by Kasparov.

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Bernhard Burgstaller. 2024-10-05. On the $K$-theory in splitexact algebraic $KK$-theory. https://arxiv.org/abs/2410.04150

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