C*-Algebras and Applications to Physics Proceedings, Second Japan-US
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650 C*-Algebras and Applications to Physics Proceedings, Second Japan-USA Seminar, Los Angeles, April 18-22, 1977
Edited by H. Araki and R. V. Kadison
Springer-Verlag Berlin Heidelberg New York 1978
Editors Huzihiro Araki Research Institute for Mathematical Sciences Kyoto University Kyoto 606, Japan
Richard V. Kadison Department of Mathematics E1 University of Pennsylvania Philadelphia, PA 19104/USA
AMS Subject Classifications (1970): 81 A 15, 81 A 17, 82A 15, 46 K 10, 46L05, 46L 10 ISBN 3-540-08762-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-08762-1 Springer-Verlag New York Heidelberg Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 64 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher.
© by Springer-Verlag Berlin Heidelberg 1978
2141/3140-643210
PREFACE This volume contains the proceedings of the Second Japan-U.S. Seminar on C*-algebras and Applications to Physics. The seminar was sponsored jointly by the Japan Society for the Promotion of Science and the National Science Foundation (USA) who supplied travel and sUbsistence support for some of the participants. It was held at UCLA 18-22 April 1977. The first five papers are extended versions of 90 minute talks presented during each of the five mornings of the seminar. They are expository accounts of broad and important areas of the subject. They appear in the order in which their authors spoke. The next group of shorter papers are by some of the speakers at the seminar. They appear in the order in which their authors spoke. The last three papers (and that of O. Takenouchi) are contributed by seminar participants. For the most part, these shorter papers describe detailed recent research. As such they offer a good opportunity to observe the methods and ideas of current interest in the subject. A number of notes (of talks as well as other contributions) circulated at the seminar do not appear in this volume. They are primarily summaries of work appearing, or to appear, elsewhere. We list the authors and titles of these notes for the information this provides about the seminar. Brown, L., Some Techniques in the Theory of C*-algebras Bratteli, 0., When is a C*-crossed Product Simple? Bunce, J., A C*-algebraic Approach to Subnormal Operators Feldman, J., Hahn, P. and Moore, C., Von Neumann Algebras and the Structure of Continuous Group Actions Herman, R., Perturbations of Flows Katayama, Y., Non-existence of a Normal Conditional Expection in a Continuous Crossed Product Kishimoto, A., Equilibrium States of a Semi-quantum Lattice System Nakagami, Y. and Sutherland, C., Takesaki's Duality for Regular Extensions of Von Neumann Algebras Okayasu, T., Spectral Measures for *-au
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