| Budget Amount *help |
¥2,550,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥450,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥600,000 (Direct Cost: ¥600,000)
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| Research Abstract |
We investigated actions on von Neumann algebra by their dual actions. In this study, we proved that, for any coaction of a locally compact group K on a properly infinite von Neumann algebra and a closed subgroup H of K, the action is cocycle conjugate to a coaction which comes from a coaction of H if and only if the dual action is induced by an action of H. By using the notion of commensurability of ergodic measured equivalence subrelations, we also generalized the notion of Hecke algebras to von Neumann algebras which come from measured equivalence relations.
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