| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
Narutaka Ozawa has conducted research on discrete groups under the slogan "Functional analytic group theory." He studied (in collaboration with E. Breuillard, M. Kalantar, and M. Kennedy) the characterization of the simplicity for the reduced group C*-algebra and obtained a breakthrough result. Next, he turned to the harmonic analysis on discrete groups and found a quite simple proof to the famous Gromov theorem stating that a group of polynomial growth is virtually nilpotent. Combining the new method with random walk theory, he (in collaboration with A. Erschler) generalized the Gromov theorem.
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