C*-代数的广义迹秩
The Generalized Tracial Rank of C*-Algebra
DOI: 10.12677/PM.2020.104039, PDF,   
作者: 刘晨晨：中国海洋大学数学科学学院，山东 青岛
关键词: 迹秩；广义迹秩；弱广义迹秩；Tracial Rank； Generalized Tracial Rank； Weak Generalized Tracial Rank
摘要: 本文研究广义迹秩的性质，证明了广义迹秩与弱广义迹秩的等价性，给出了广义迹秩对直和、有单位元子代数的封闭性等性质，并研究了Hilbert模上紧算子理想的广义迹秩。
Abstract: In this paper, the properties of generalized tracial rank are studied. We prove equivalence of generalized tracial rank and weak generalized tracial rank, and also prove that generalized tracial rank is closed with respect to direct sum, and unital subalgebra. Finally, the generalized tracial rank of the ideal of compact operators on a Hilbert module is given.
文章引用：刘晨晨. C*-代数的广义迹秩[J]. 理论数学, 2020, 10(4): 307-317. https://doi.org/10.12677/PM.2020.104039

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