K-Theory and Operator Algebras Proceedings of a Conference held at t
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575 K-Theory and Operator Algebras Proceedings of a Conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975
Edited by B. B. Morrel and I. M. Singer
Spri nger-Verlag Berlin· Heidelberg· New York 1977
Editors Bernard B. Morrel Department of Mathematics Swain Hall East, Indiana University Bloomington, IN 47401/USA
I. M. Singer Department of Mathematics Massachusetts Institute of Technology Cambridge, MA 02139/USA
Library of Congress Cataloging in Publication Data
ConferenCE; on K-Theory and Operato:::' si ty of Georgia, 1975. K-tteory a:1d operator algebras.
Al~"etras,
"JEi',I
(Lecture notes in mathemat::.cs ; 575) 1. K-theory--Congresses. 2. Operator algebras--
Cong resses. I. Morrel, Bernar::1 B. II. Isadore Manuel, ::"924III. Title. IV.
Lecture notes in mathematiss (Eerlin) ; 575. Q,A3.I28 no. 575 [G,A6l2.33J 5l0' .8s 77-1050
[5l4' .23 J
AMSSubjectClassifications(1970): 18F25, 46-02, 46 L05, 46 L 10,47-02, 47G05, 55-02, 55B15, 58-02, 58GlO, 58G15 ISBN 3-540-08133-X Springer-Verlag Berlin' Heidelberg· New York ISBN 0-387-08133-X 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 § 54 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 1977 Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 214113140-543210
Preface This volume records most of the talks given at the Conference on K-theory and Operator Algebras held at the University of Georgia in Athe ns, Georgia, April 21April 25, 1975.
The purpose of the conference was to
review the known connections between operator theory and K-theory and explore possible new ones.
Consequently,
some o f the papers present historical background, some develop new ideas, some are expository in an attempt to acquaint experts in the one field with recent developments in the other, and some pose new problems which further developments might solve. We are happy to express our thanks to the National Science Foundation for sponsoring the meeting, to the University of Georgia for providing funds for additional participants, to the Mathematics Department for its gracious hospitality, Ms. Ann
t o Ms. Teddy Schultz, Ms. Carol Ledbetter and
Ware for the typing, to the authors for their
manuscripts and their patien ce , and to Springer-Verlag f or publishing this volume. Bernard Morrel I. M. Singer
CONTENTS
1.
M. F. ATIYAH A survey of K-theory
4.
LAWRENCE G. BROWN Characterizing ext (X)
S.
.
RICHARD W. CAREY and JOEL D. PINCUS Almost commuting algebras . . .
6.
KARL HEINRICH
78
DUSA MACDUFF Configuration spaces
11.
70
RONNIE LEE and R. H. SZCZARBA On algebraic K-theory an
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