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arXiv · 1805.07236

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

Junhao Shen·Rui Shi
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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 ${\rm C}^{\ast}$-algebra. We also prove a result for approximate summands of representations of unital, separable AH algebras into finite von Neumann factors.

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Junhao Shen, Rui Shi. 2018-05-17. Approximate equivalence of representations of AH algebras into semifinite von Neumann factors. https://arxiv.org/abs/1805.07236

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