Quantum Symmetries Metabief, France 2014
Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in n
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Guillaume Aubrun · Adam Skalski Roland Speicher
Quantum Symmetries Metabief, France 2014 Uwe Franz Editor
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Zurich Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Guillaume Aubrun • Adam Skalski • Roland Speicher
Quantum Symmetries Metabief, France 2014 Uwe Franz Editor
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Authors Guillaume Aubrun Institut Camille Jordan Université Claude Bernard Lyon 1 Lyon, France
Adam Skalski Institute of Mathematics Polish Academy of Sciences Warsaw, Poland
Roland Speicher Fachrichtung Mathematik Saarland University SaarbrRucken, Germany Editor Uwe Franz Laboratoire de Mathématiques de Besançon University Bourgogne Franche-Comté Besançon, France
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-63205-6 DOI 10.1007/978-3-319-63206-3
ISSN 1617-9692 (electronic) ISBN 978-3-319-63206-3 (eBook)
Library of Congress Control Number: 2017948029 Mathematics Subject Classification (2010): 46L54, 81P45, 46L65, 81P40, 46L89, 16T30, 60B15, 81T75, 16T05 © Springer International Publishing AG 2017 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This monograph arose from lectures delivered by the authors at the Winter School “Operator Spaces, Noncommutative Probability and Quantum Groups”, December 1–12, 2014, held at the Azuréva Métabief in the Jura Mountains in France. It c
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