| Abstract: |
In an interesting article from the 1970's, Mackey made a proposal to study representation theory for a semisimple group G by developing an analogy between G and an associated semidirect product group. We shall examine the connection between Mackey's proposal and C*-algebra K-theory. In one direction, C*-algebra theory prompts us to search for precise expressions of Mackey's analogy. In the reverse direction, we shall use Mackey's point of view to give a new proof of the complex semisimple case of the Connes-Kasparov conjecture in C*-algebra K-theory.
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