Approximate equivalence of representations of AH algebras into semifinite von Neumann factors

2018/05/17 by Junhao Shen, Rui Shi, Shen, Junhao +1
Mathematics · #47C15 #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1805.07236

openalex publication_date 2018/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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^∗-algebra. We also prove a result for approximate summands of representations of unital, separable AH algebras into finite von Neumann factors.

Citations

• A generalization of the Voiculescu theorem for normal operators in semifinite von Neumann algebras

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