Trace-scaling automorphisms of certain stable AF algebras

1996/02/28 by David Evans, D. E. Evans, Evans, D. E. +3
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA

paper · pdf · doi:10.48550/arxiv.funct-an/9602008

12 pages, latex

arxiv created 1996/02/28 · openalex publication_date 1996/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Trace scaling automorphisms of stable AF algebras with dimension group totally ordered are outer conjugate if the scaling factors are the same (not equal to one). This is an adaptation of a similar result for the AFD type II_infty factor by Connes and extends the previous result for stable UHF algebras.

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