| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The Baum-Connes conjecture is one of the main topic of noncommutative geometry. We study its non-equivariant version, the coarse Baum-Connes conjecture. We proved that relatively hyperbolic groups satisfy the conjecture, under appropriate assumptions on parabolic subgroups. We also constructed a boundary for product of metric spaces. As application, we proved that the product of CAT(0)-groups, relatively hyperbolic groups, and polycyclic groups satisfy the conjecture.
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