The Connes-Kasparov conjecture for almost connected groups
classification
🧮 math.OA
keywords
connectedtheoryalgebraalmostassemblycocompactcompactcomponent
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Let $G$ be a locally compact group with cocompact connected component. We prove that the assembly map from the topological $\k$-theory of $G$ to the $\k$-theory of the reduced $C^*$-algebra of $G$ is an isomorphism.
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