Expository Lecture s from th e CBMS Regional Conferenc e held at the US Naval Academy June 5-11 , 1988 This researc h wa s partiall y supporte d b y Nationa l Scienc e Foundatio n Grant DMS-8714130 . 2000 Mathematics Subject Classification. Primary 46L10 , 57M2 5 Sec- ondary 16S34 , 22E65, 22E67, 22E70, 46L37, 46L40, 57M15, 81T30, 82B23. Library o f Congres s Cataloging-in-Publicatio n Dat a Jones, Vaughan F. R., 1952 - Subfactors an d knots/Vaughan F . R. Jones. p. cm. —(Regional conferenc e serie s in mathematics: no . 80 ) Includes bibliographical references . ISBN 0-8218-0729- 3 1. Von Neumann algebras—Congresses . 2 . Knot theory—Congresses . I. Conference Boar d of the Mathematical Sciences . II . Title. III . Series. QA1.R33 no . 80 [QA326] 510s—dc20 91-2443 8 [512'.55] CI P Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission shoul d b e addresse d t o the Assistan t t o the Publisher , America n Mathematica l Society , P. O. Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o b e mad e b y e-mai l t o reprint-permissionOams.org. © Copyrigh t 199 1 b y th e America n Mathematica l Society . Al l rights reserved . Printed i n th e Unite d State s o f Americ a The America n Mathematica l Societ y retain s al l rights except thos e grante d t o th e Unite d State s Government . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . This publicatio n wa s typese t usin g .AA^S-T^X , the America n Mathematica l Society' s Tg X macr o system . Visit th e AM S hom e pag e a t URL : http://www.ams.org / 10 9 8 7 6 5 4 3 0 5 0 4 0 3 0 2 0 1 0 0
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