Approximate equivalence of representations of AF algebras into semifinite von Neumann algebras

Approximate equivalence of representations of AF algebras into semifinite von Neumann algebras
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AF代数表示为半有限冯·诺依曼代数的近似等价

DOI:
10.7153/oam-2019-13-55
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发表时间:
2019
影响因子:
0.5
通讯作者:
Rui Shi
Rui Shi
中科院分区:
数学4区
文献类型:
--
作者:
Shilin Wen;Junsheng Fang;Rui Shi

文献摘要

相似文献

In this paper, we prove a non-commutative version of the Weyl-von Neumann theorem for representations of unital, separable AH algebras into countably decomposable, semifinite, properly infinite, von Neumann factors, where an AH algebra means an approximately homogeneous ${\rm C}^{\ast}$-algebra. We also prove a result for approximate summands of representations of unital, separable AH algebras into finite von Neumann factors.