Narutaka OZAWA 

Data

• Associate Professor at Research Institute for Mathematical Sciences (Kyoto), since 2011.
• Editorial Boards:
  • Groups, Geometry, and Dynamics
  • Journal of the Mathematical Society of Japan

• Ph.D., Mathematics, University of Tokyo, March 2000.
  • Adviser: Prof. Y. Kawahigashi
• Ph.D., Mathematics, Texas A&M University, May 2001.
  • Advisers: Prof. W.B. Johnson and Prof. G. Pisier

• Guseman Prize in Mathematics (for graduate students, Texas A&M University), 2000.
• ICM Invited Speaker (Operator Algebras and Functional Analysis), Madrid, 2006. (Daily News)
• Operator Algebra Prize of Japan, 2008.
• Spring Prize (for those under 40, Math. Soc. Japan), 2009.
• JSPS Prize (for young researchers, JSPS), 2010.

Books

• C*-algebras and finite-dimensional approximations (in collaboration with N. P. Brown),
  Graduate Studies in Mathematics, 88. American Mathematical Society, 2008, 509 pp.

Selected Papers (Full List)

• On injectivity and nuclearity for operator spaces (in collaboration with Effros and Ruan),
  Duke Math. J., 110 (2001), 489--521.
• Amenable actions and exactness for discrete groups,
  C. R. Acad. Sci. Paris Ser. I Math., 330 (2000), 691--695. math.OA/0002185
• Homogeneity of the pure state space of a separable C*-algebra (in collaboration with Kishimoto and Sakai),
  Canad. Math. Bull., 46 (2003), 365--372. math.OA/0110152
• Solid von Neumann algebras,
  Acta Math., 192 (2004), 111--117. math.OA/0302082
• Amenable Actions And Applications,
  International Congress of Mathematicians, Vol. II, 1563--1580, Eur. Math. Soc., Zürich, 2006.
• Weak amenability of hyperbolic groups,
  Groups Geom. Dyn., 2 (2008), 271--280. arXiv:0704.1635
• On a class of II_1 factors with at most one Cartan subalgebra (in collaboration with Popa),
  Ann. of Math. (2), 172 (2010), 713--749. arXiv:0706.3623
• Examples of groups which are not weakly amenable,
  Kyoto J. Math., 52 (2012), 333--344. arXiv:1012.0613

Recent Research Talks (Memento)

• Survey on weak amenability for groups (Handout.pdf)
  • Japanese Western Operator Algebra Seminar, Awarayunomachi, December 2010.
  • Finite Dimensional Approximations of Discrete Groups, Oberwolfach, May 2011.
  • II₁ factors: rigidity, symmetries and classification, IHP (Paris), May 2011.
  • Workshop in Analysis and Probability, Texas A&M University, July 2011.
  • Banach Algebras 2011, Waterloo, August 2011.
  • C*-Algebras and Related Topics, RIMS, September 2011.
  • von Neumann Algebras and Related Topics, RIMS, January 2012.
  • K-Theory, C*-algebras and Topology of Manifolds II, Chern Institute of Mathematics (Tianjin), May 2012.
  • Geometry and Analysis on Discrete Groups, Kyoto, June 2012.
• ME embeddings for groups
  • Embeddings workshop, Isaac Newton Institute, January 2011.
• An introduction to sofic groups
  • Sendai Symposium, Tohoku University, August 2011.
• Weak amenability for groups and its applications (Mini Course)
  • Von Neumann algebras and ergodic theory of group actions, IHP (Paris), May 2011.
  • Winter School on Operator Algebras, RIMS, December 2011.
• Is an irng singly generated as an ideal? (Handout.pdf)
  • Operator Algebra Seminar at University of Tokyo, January 2012.
  • Geometric and Analytic Aspects of Group Theory, Mittag-Leffler Institute, February 2012.
  • Colloquium at Kyoto University, February 2012.
• Introduction to Connes' embedding problem (4-hour minicourse)
  • Workshop on Connes' Embedding Conjecture, Neuchâtel (Switzerland), April 2012.
• More on the fixed point property of semi-direct product groups
  • Workshop in Analysis and Probability, Texas A&M University, July 2012.
  • Operator Algebra Seminar, KU Leuven, September 2012.
  • Groupe de travail "Dynamique mesurable," ENS Lyon, December 2012.
• Survey on the classification of von Neumann factors of type II₁
  • Australian Mathematical Society 56th Annual Meeting, Ballarat, September 2012.
  • SYM Lecture, University of Copenhagen, October 2012.
  • Harmonic Analysis, Operator Algebras and Representations, CIRM, October 2012.
• Connes's Embedding Problem and its equivalent (6-hour minicourse)
  • Masterclass on Sofic groups and applications to operator algebras, Copenhagen, November 2012.
• Quantum correlations and Tsirelson's problem
  • Séminaire de géométrie et dynamique, ENS Lyon, December 2012.
  • AmenAbility, EPFL, December 2012.
  • Kansai Seminar, February 2013.
  • C*-Algebras and Noncommutative Dynamics, Sde Boker (Israel), March 2013.
  • CRM Colloquium, Montréal, April 2013.
• Fortifications of Kazhdan's property (4-hour minicourse)
  • Rigidity School, University of Tokyo, January 2013.
• Analytic approximation properties for discrete groups (6-hour minicourse, Handwritten Notes)
  • School on Group C*-algebras, Sde Boker (Israel), March 2013.

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