Crossed Products of C*-Algebras, Topological Dynamics, and Classification
This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures.The first one, given by Andrew Toms, presents the basic prop
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Thierry Giordano David Kerr N. Christopher Phillips Andrew Toms
Crossed Products of C*-Algebras, Topological Dynamics, and Classification
Advanced Courses in Mathematics CRM Barcelona Centre de Recerca Matemàtica Managing Editor: Enric Ventura
More information about this series at http://www.springer.com/series/5038
Thierry Giordano • David Kerr N. Christopher Phillips • Andrew Toms
Crossed Products of C*-Algebras, Topological Dynamics, and Classification Editor for this volume: Francesc Perera, Universitat Autònoma de Barcelona
Thierry Giordano Department of Mathematics and Statistics University of Ottawa Ottawa, ON, Canada
David Kerr Department of Mathematics Texas A&M University College Station, TX, USA
N. Christopher Phillips Department of Mathematics University of Oregon Eugene, OR, USA
Andrew Toms Department of Mathematics Purdue University West Lafayette, IN, USA
ISSN 2297-0304 ISSN 2297-0312 (electronic) Advanced Courses in Mathematics - CRM Barcelona ISBN 978-3-319-70868-3 ISBN 978-3-319-70869-0 (eBook) https://doi.org/10.1007/978-3-319-70869-0 Library of Congress Control Number: 2018948737 Mathematics Subject Classification (2010): 46L05, 46L10, 46L35, 46L40, 46L55 © Springer International Publishing AG, part of Springer Nature 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword The classification of C ∗ -algebras via K-theoretic invariants was invigorated in the years prior to 2011, in part due to the discovery that the Cuntz semigroup (which is, roughly speaking, the semigroup of isomorphism classes of countably generated Hilbert modules) contains an enormous amount of information. Explic
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