| RESEARCH ANNOUNCEMENTS Galos Correspondence in Field Algebra of G—spin Model |
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| 引用本文： | 蒋立宁,郭懋正.RESEARCH ANNOUNCEMENTS Galos Correspondence in Field Algebra of G—spin Model[J].数学进展,2003,32(2):239-240. |
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| 作者姓名： | 蒋立宁 郭懋正 |
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| 作者单位： | [1]DepartmentofAppliedMathematics,BeijingInstituteofTechnology,Beijing,100081,P.R.China [2]LAMA，SchoolofMathematics,PekingUniversity,Beijing,100087,P.R.China |
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| 摘 要： | A C*-system is a pair (B, G) consisting of a unital C*-algebra B and a continuous group homomorphism α: G → Aut(B) where G is a compact group and Aut(B) the group of automor-phisms of B. If K is a normal subgroup of G and BK = {B∈ B: k(B) = B, k ∈ K}, then BK is a G-invariant C*-subalgebra of B. On the other hand, if A is a G-invariant C*-algebra with BG A B, set G (A) = {g ∈ G: g(A) = A, A ∈ A}, G (A) is a normal subgroup of G. Clearly K G(BK) and we call K Galois closed ifK = G(BK). Similarly, A BG(A) and we call A Galois closed if A = BG(A).
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| 关 键 词： | 伽罗华对应 G－自旋模型 群 域代数 C代数 |
Galois Correspondence in Field Algebra of G-spin Model |
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