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arXiv · 1006.4975

Crossed products and the Mackey-Rieffel-Green machine

Siegfried Echterhoff
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Abstract

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 more detailed exposition of many of the results presented here we refer to the beautiful recent book by Dana Williams.

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Siegfried Echterhoff. 2010-06-25. Crossed products and the Mackey-Rieffel-Green machine. https://arxiv.org/abs/1006.4975

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