| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Research Abstract |
Let P < A be an inclusion of unital C*--algebras with a finite Watatani Index. We show that if an inclusion P < A has the Rokhlin property in the sense of Kodaka, Osaka, Teruya, then the nuclear dimension of A is greater than or equal to that of P. This is a partial answer to a question by Winter-Zacharias. Moreover, under an inclusion P < A has the tracial Rokhlin property in the sense of Osaka and Teruya, if A is the Jiang-Su stable, then so is P.
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