| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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| Research Abstract |
Theory of operator algebras is a branch in Analysis which deals with noncommutative phenomena. In this project, Ozawa applied theory of operator algebras and studied the functional analytic aspects of theory of discrete groups. As an application, he constructed the first example of an amenable but not nuclear operator algebra. Connes's Embedding Conjecture is currently the most important conjecture in theory of operator algebras. Ozawa has proved that this conjecture is equivalent to Tsirelson's Conjecture, which has been being studied in Quantum Information Theory. He also studied the noncommutative real algebraic geometric aspects of these conjectures.
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