Abstract
-algebra of Γ. So far, there is quite little evidencefor this conjecture. For example, there is not a single property T group forwhich it is known to be true. In this note we show that, in some sense, thehomological algebra of their conjecture is correct. In many cases, the periodiccyclic homology of certain dense subalgebras suggests what the K-theoryshould be. In the case of a discrete group Γ, the periodic cyclic homology ofthe algebraic group algebra CΓ is quite easy to calculate. Let !Γ
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