196:. He was from 1953 to 1956 an assistant professor at the University of Iowa, from 1956 to 1959 an associate professor at the University of Southern California (USC), and from 1959 to 1960 a full professor at the University of Iowa. From 1960 until his death in 1986 he was a full professor at the University of California, Los Angeles (UCLA).
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implied that all finite measure preserving actions of countable abelian groups give rise to isomorphic operator algebras. It was Henry Dye who discovered that this isomorphism had a more fundamental and geometric origin, and was actually induced by an isomorphism of the underlying measure spaces that
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Dye received from
Rensselaer Polytechnic Institute a bachelor's degree and in 1950 a Ph.D. from the University of Chicago. As a postdoc he was from 1950 to 1952 at California Institute of Technology (Caltech) and from 1952 to 1953 at the
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and the modular theory of von
Neumann algebras. In other papers concerning operator algebras, he showed that the unitary group and the projection lattice of a von Neumann factor each completely determine the algebraic structure of that
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His first published paper, "The Radon-Nikodym theorem for finite rings of operators", contained important results which led to many advances in the theory of
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183:(1926–1986) was an American mathematician, specializing in operator algebras and ergodic theory.
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Dye, H. A. (1955). "On the geometry of projections in certain operator algebras".
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Dye, H. A. (1952). "The Radon-Nikodym theorem for finite rings of operators".
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Russo, B.; Dye, H. A. (1966). "A Note on
Unitary Operators in C*-Algebras".
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Dye, H. A. (1963). "On groups of measure preserving transformations II".
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Dye, H. A. (1953). "The unitary structure in finite rings of operators".
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Dye, H. A. (1959). "On groups of measure preserving transformations I".
204:, for example, the non-commutative integration theory of I.E. Segal and
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492:. In Bezuglyi, Sergey; Kolyada, Sergey (eds.).
496:. Cambridge University Press. pp. 60–80.
625:University of California, Los Angeles faculty
143:Radon-Nikodym Theorems for Operator Algebras
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214:One of the most striking early results of
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615:Rensselaer Polytechnic Institute alumni
532:MacTutor History of Mathematics Archive
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471:"In memoriam: Henry Abel Dye 1926–1986"
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494:Topics in Dynamics and Ergodic Theory
635:Mathematicians from New York (state)
605:20th-century American mathematicians
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390:10.1090/s0002-9947-1965-0174705-8
127:University of Southern California
78:Rensselaer Polytechnic Institute
373:"On the ergodic mixing theorem"
344:American Journal of Mathematics
315:American Journal of Mathematics
91:Dye's orbit equivalence theorem
561:Pacific Journal of Mathematics
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630:People from Dunkirk, New York
445:Mathematics Genealogy Project
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421:10.1215/S0012-7094-66-03346-1
277:10.1215/S0012-7094-53-02006-7
620:University of Chicago alumni
194:Institute for Advanced Study
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488:Dooley, Anthony H. (2003).
475:Californian Digital Library
68:Los Angeles, California, US
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409:Duke Mathematical Journal
265:Duke Mathematical Journal
223:carried orbits to orbits.
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537:University of St Andrews
19:Not to be confused with
377:Trans. Amer. Math. Soc
236:Trans. Amer. Math. Soc
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16:American mathematician
286:Annals of Mathematics
228:Selected publications
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82:University of Chicago
523:Robertson, Edmund F.
405:with Bernard Russo:
202:von Neumann algebras
187:Education and career
521:O'Connor, John J.;
467:Takesaki, Masamichi
371:Dye, H. A. (1965).
610:Operator theorists
579:(quote from p. iv)
550:Varadarajan, V. S.
490:"Markov Odometers"
461:Arveson, William;
441:Henry Abel Dye Jr.
181:Henry Abel Dye Jr.
123:University of Iowa
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165:Doctoral students
101:Scientific career
94:Russo–Dye theorem
61:November 26, 1986
50:Dunkirk, New York
46:February 14, 1926
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554:"Henry Abel Dye"
552:(January 1989).
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159:Irving Segal
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115:Institutions
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63:(1986-11-26)
600:1986 deaths
595:1926 births
383:: 123–130.
220:von Neumann
110:Mathematics
589:Categories
429:References
206:J. Dixmier
42:1926-02-14
21:Henry Dyer
30:Henry Dye
469:(1989).
508:(p. 61)
443:at the
399:1993948
364:2373108
335:2372852
306:1969620
256:1990754
209:factor.
119:Caltech
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216:Murray
147:(1950)
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138:Thesis
107:Fields
557:(PDF)
395:JSTOR
360:JSTOR
331:JSTOR
302:JSTOR
252:JSTOR
498:ISBN
218:and
131:UCLA
58:Died
52:, US
36:Born
569:doi
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