矩阵代数中一类新的Kadison-Singer格
New Kadison-Singer Lattices in Matrix Algebras
摘要: 本文在矩阵代数M2(C)和M3(C)中由一个极大套和由一个分离向量决定的秩1投影生成的Kadison-Singer格及Kadison-Singer代数的基础上,将该类投影分别嵌入到矩阵代数M4(C)与M6(C)中,构造出了生成M4(C)与M6(C)的Kadison-Singer格并计算出了相应的Kadison-Singer代数。
Abstract:
For given Kadison-Singer lattices in matrix algebras M2(C) and M3(C) which is generated by a maximal nest and rank 1 operator determined by a separating vector, the paper constructs new Kadison-Singer lattices in M4(C) and M6(C)which generate the full matrix algebras M4(C) and M6(C)respectively.
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