fbpx
Wikipedia

Wolfgang Krieger

Wolfgang Krieger (born 3 June 3, 1940, Garmisch-Partenkirchen) is a German mathematician, specializing in analysis.

Wolfgang Krieger, Columbus 1970

Krieger studied mathematics and physics at the Ludwig-Maximilians-Universität München from 1959, where he obtained his doctorate in 1968 under Elmar Thoma with the thesis Über Maßklassen.[1] Krieger studied at Harvard University from 1962 to 1965, earning a master's degree in 1964. From 1966 to 1968 he was a research assistant in Munich; and from 1968 assistant professor, from 1970 associate professor and from 1972 full professor at Ohio State University. For the academic year 1973–1974 he was a visiting professor at the University of Göttingen. In 1974, until his retirement in 2006, he was a professor at Heidelberg University. From 1985 to 1987 he was Dean of the Faculty of Mathematics.[2]

His research deals with ergodic theory, dynamical systems, and operator algebras. Cuntz-Krieger algebras, introduced in 1980, are named after him and Joachim Cuntz.[3]

Krieger was a visiting scholar at IHES and Paris VI University in 1977–1978, at the University of Ottawa in 1982–1983, at the Almaden Research Center of IBM in 1988–1989, and at the Hebrew University of Jerusalem in 2005–2006. In 1997 he was a Fellow of the Japan Society for the Promotion of Science. He was elected a Fellow of the American Mathematical Society in 2012. He was an invited speaker with the talk On Generators in Ergodic Theory at the ICM in Vancouver in 1974.

Selected publications edit

  • On non-singular transformations of a measure space. I, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 11, No. 2, 1969, pp. 83–97. doi:10.1007/BF00531811
  • On entropy and generators of measure-preserving transformations, Transactions of the American Mathematical Society, Vol. 149, 1970, pp. 453–464. doi:10.1090/S0002-9947-1970-0259068-3
  • On ergodic flows and the isomorphism of factors, Mathematical Annals, Vol. 223, 1976, pp. 19–70 doi:10.1007/BF01360278
  • with Alain Connes: Measure space automorphisms, the normalizers of their full groups, and approximate finiteness, Journal of Functional Analysis, Vol. 24, 1977, pp. 336–352 doi:10.1016/0022-1236(77)90062-3
  • with Joachim Cuntz: A class of C*-algebras and topological Markov chains, Inventiones Mathematicae, Vol. 56, 1980, pp. 251–268. doi:10.1007/BF01390048
  • On the Subsystems of Topological Markov Chains, Ergodic Theory and Dynamical Systems, Vol. 2, 1982, pp. 195–202 doi:10.1017/S0143385700001516
  • with Mike Boyle: Periodic points and automorphisms of the shift, Trans. Amer. Math. Soc., Vol. 302, 1987, pp. 125–149 doi:10.1090/S0002-9947-1987-0887501-5
  • with Brian Marcus and Selim Tuncel: On automorphisms of Markov chains, Trans. Amer. Math. Soc., Vol. 333, 1992, pp. 531–565 doi:10.1090/S0002-9947-1992-1099353-3

References edit

  1. ^ Wolfgang Krieger at the Mathematics Genealogy Project
  2. ^ Heidelberg Scholarly Lexicon
  3. ^ Nasr-Isfahani, Alireza (2017). "Algebraic Cuntz-Krieger algebras". arXiv:1708.01780 [math.RA].

External links edit

  • Prof. Dr. Wolfgang Krieger, math.uni-heidelberg.de

wolfgang, krieger, born, june, 1940, garmisch, partenkirchen, german, mathematician, specializing, analysis, columbus, 1970krieger, studied, mathematics, physics, ludwig, maximilians, universität, münchen, from, 1959, where, obtained, doctorate, 1968, under, e. Wolfgang Krieger born 3 June 3 1940 Garmisch Partenkirchen is a German mathematician specializing in analysis Wolfgang Krieger Columbus 1970Krieger studied mathematics and physics at the Ludwig Maximilians Universitat Munchen from 1959 where he obtained his doctorate in 1968 under Elmar Thoma with the thesis Uber Massklassen 1 Krieger studied at Harvard University from 1962 to 1965 earning a master s degree in 1964 From 1966 to 1968 he was a research assistant in Munich and from 1968 assistant professor from 1970 associate professor and from 1972 full professor at Ohio State University For the academic year 1973 1974 he was a visiting professor at the University of Gottingen In 1974 until his retirement in 2006 he was a professor at Heidelberg University From 1985 to 1987 he was Dean of the Faculty of Mathematics 2 His research deals with ergodic theory dynamical systems and operator algebras Cuntz Krieger algebras introduced in 1980 are named after him and Joachim Cuntz 3 Krieger was a visiting scholar at IHES and Paris VI University in 1977 1978 at the University of Ottawa in 1982 1983 at the Almaden Research Center of IBM in 1988 1989 and at the Hebrew University of Jerusalem in 2005 2006 In 1997 he was a Fellow of the Japan Society for the Promotion of Science He was elected a Fellow of the American Mathematical Society in 2012 He was an invited speaker with the talk On Generators in Ergodic Theory at the ICM in Vancouver in 1974 Selected publications editOn non singular transformations of a measure space I Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete Vol 11 No 2 1969 pp 83 97 doi 10 1007 BF00531811 On entropy and generators of measure preserving transformations Transactions of the American Mathematical Society Vol 149 1970 pp 453 464 doi 10 1090 S0002 9947 1970 0259068 3 On ergodic flows and the isomorphism of factors Mathematical Annals Vol 223 1976 pp 19 70 doi 10 1007 BF01360278 with Alain Connes Measure space automorphisms the normalizers of their full groups and approximate finiteness Journal of Functional Analysis Vol 24 1977 pp 336 352 doi 10 1016 0022 1236 77 90062 3 with Joachim Cuntz A class of C algebras and topological Markov chains Inventiones Mathematicae Vol 56 1980 pp 251 268 doi 10 1007 BF01390048 On the Subsystems of Topological Markov Chains Ergodic Theory and Dynamical Systems Vol 2 1982 pp 195 202 doi 10 1017 S0143385700001516 with Mike Boyle Periodic points and automorphisms of the shift Trans Amer Math Soc Vol 302 1987 pp 125 149 doi 10 1090 S0002 9947 1987 0887501 5 with Brian Marcus and Selim Tuncel On automorphisms of Markov chains Trans Amer Math Soc Vol 333 1992 pp 531 565 doi 10 1090 S0002 9947 1992 1099353 3References edit Wolfgang Krieger at the Mathematics Genealogy Project Heidelberg Scholarly Lexicon Nasr Isfahani Alireza 2017 Algebraic Cuntz Krieger algebras arXiv 1708 01780 math RA External links editProf Dr Wolfgang Krieger math uni heidelberg de Retrieved from https en wikipedia org w index php title Wolfgang Krieger amp oldid 1133101871, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.