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An elementary proof of rational injectivity in equivariant KK-theory

Year: 2026
Type: preprint
Abstract: Antonini, Azzali and Skandalis proved that, for every countable discrete group $Γ$, the canonical map $EΓ\to\underline{E}Γ$ induces a split injection in equivariant $KK$-theory with real coefficients. In this paper, we give a more elementary proof of the corresponding rational injectivity result in ordinary equivariant $KK$-theory without using $\mathrm{II}_1$ factors.
Language: English
Open Access status: green
OpenAlex ID: W7223293450
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