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

Authors :
Junhao Shen
Rui Shi
Source :
Journal of Noncommutative Geometry; 2024, Vol. 18 Issue 4, p1315-1348, 34p
Publication Year :
2024

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 C*-algebra. We also prove a result for approximate summands of representations of unital, separable AH algebras into finite von Neumann factors. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16616952
Volume :
18
Issue :
4
Database :
Complementary Index
Journal :
Journal of Noncommutative Geometry
Publication Type :
Academic Journal
Accession number :
179545924
Full Text :
https://doi.org/10.4171/JNCG/554