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Crossed Products, the Mackey-Rieffel-Green Machine and Applications

Siegfried Echterhoff,
published 2011-03-17

We give an introduction into the ideal structure and representation theory of crossed products by actions of locally compact groups on C*-algebras. In particular, we discuss the Mackey-Rieffel-Green theory of induced representations of crossed products and groups. Although we do not give complete proofs of all results, we try at least to explain the main ideas. For a much more detailed exposition of many of the results presented here we refer to the beautiful book (123) by Dana Williams (which has not been available when most of this was written).

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