标题:
矩阵代数中一类新的Kadison-Singer格New Kadison-Singer Lattices in Matrix Algebras
作者:
陈改娟, 任院红, 王宁, 刘倩
关键字:
Kadison-Singer格, 矩阵代数, Kadison-Singer代数, von Neumann代数Kadison-Singer Lattice; Matrix Algebra; Kadison-Singer Algebra; von Neumann Algebra
期刊名称:
《Pure Mathematics》, Vol.2 No.3, 2012-07-27
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。
For given Kadison-Singer lattices in matrix algebrasM2(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)andM6(C)which generate the full matrix algebras M4(C)andM6(C)respectively.