K-theory of Algebra

摘要：

Let H be a complex, separable and infinite dimensional Hilbert space and L(H) denote the collection of bounded linear operators on H. A (T) denotes the commutant algebra of the operator T. An operator T in L(H) is said to be strongly irreducible, if A(T) has no non-trivial idempotent. In this paper, we discuss the following operator class F = T ∈L(H) | σ(T) is connected and A(T) is the closure of R(T) R is the holomorphic function in σ(T) . For T ∈ F, we prove that T is a strongly irreducible operator and V(A(T)) ≈ N, K0(A(T)) ≈ Z.

关键词： strongly irreducible eommutant algebra operator finitely decomposable inductive limit

作者: Xianzhou Guo Xiangmei Zhang Xinjie Gao

作者单位: School of Sciences, Hebei University of Technology, Tianjin, P.R.China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 485-488

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）