Some endomorphisms of II₁ factors: part II

2005/09/20 by Hsiang-Ping Huang, Huang, Hsiang-Ping
Mathematics · #46L37 #47B47 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.FA #math.OA #msc:46L37 #msc:47B47

paper · pdf · doi:10.48550/arxiv.math/0509461

arxiv created 2005/09/20 · openalex publication_date 2005/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any finite dimensional C^*-algebra A with a trace vector s whose entries are rational numbers, we give an endomorphism Φof the hyperfinite II₁ factor R such that: for all k ∈ \mathbb N, Φ^k (R)' ∩ R= ⊗^k A. The canonical trace τon R extends the trace vector s on A. Therefore the minimal projection is not necessarily equivalent to each other.

Related

• Some endomorphisms of the hyperfinite II₁ factor
• Some endomorphisms of II₁ factors
• When a C*-algebra is a coefficient algebra for a given endomorphism
• Endomorphisms of Stable Continuous-Trace C^*-algebras
• Canonical extension of endomorphisms of type III factors