Relative entropy for pairs of subalgebras and invariants arising from automorphisms
| Project/Area Number |
20540209
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | Osaka Kyoiku University |
|---|
Principal Investigator |
CHODA Marie Osaka Kyoiku University, 名誉教授 (80030378)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
OKAYASU Rui 大阪教育大学, 教育学部, 准教授 (70362746)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | 作用素環 / 非可換エントロピー / 自己同型写像 / エントロピー / 共役類 / 非可換力学系 / 接合積 / 因子環 / 相対エントロピー / エルゴート変換 / 群 / 状態 / エルゴード変換 |
|---|
| Research Abstract |
For a pair {A, B} of subalgebra of an operator algebra M, by modifying the Connes-Stormer relative entropy H(A|B), we defined h(A|B), and measured of distance between two algebras. For examples, in the case where M is the matrix algebra with the size n, then { h(A,B) ; A and B are maximal abelian subalgebras M}=[0.log n] and h(A,B)=log n iff A and B are mutually orthogonal. Similar result holds for pairs of subfactor with index 2 of type II_1 factors.
|
Report
(4 results)
Research Products
(34 results)
