Approximate equivalence of representations of AH algebras into semifinite von Neumann factors
Junhao Shen, Rui Shi
Abstract
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Junhao Shen, Rui Shi
Abstract
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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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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.
Key concepts: Von Neumann algebra, Von Neumann architecture, Unital, Separable space, Affiliated operator, Mathematics, Abelian von Neumann algebra, Pure mathematics