Crossed products and the Mackey-Rieffel-Green machine
Operator Algebras
2017-06-14 v4 Dynamical Systems
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.
Cite
@article{arxiv.1006.4975,
title = {Crossed products and the Mackey-Rieffel-Green machine},
author = {Siegfried Echterhoff},
journal= {arXiv preprint arXiv:1006.4975},
year = {2017}
}
Comments
Some minor corrections of the previous version. The paper will appear as Chapter 2 of the book "K-theory for group C*-algebras and semigroup C*-algebras" which will appear in the Oberwolfach-seminar series of the Birkh\"auser publishing company