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    1989
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    conjecture of idempotents in the \(C^*\)-algebraic framework
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    projection problems in \(C^*\)-algebra theory
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    reduced \(C^*\)-algebra of a countable group
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    Gromov conjecture
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    K-theory
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    Baum-Connes conjecture
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    Atiyah's \(L^ 2\)-index theorem for covering spaces
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    cyclic homology
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    Fredholm modules
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