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

Published 5 Oct 2024 in math.KT | (2410.04150v1)

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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