Crossed products, the Mackey-Rieffel-Green machine and applications

Details Crossed products, the Mackey-Rieffel-Green machine and applications Crossed products, the Mackey-Rieffel-Green machine and applications

2010-06-25

arxiv.org/abs/1006.4975v2

Mathematics

Operator Algebras

This is a corrected version of the paper. In particular we rewrote the last section on twisted group algebras which had been q

Scientific paper

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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