Joint Projective Spectrum of D_{∞ h}

2023/08/19 by Chen Li, Kai Wang, Li, Chen +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2308.09930

openalex publication_date 2023/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the joint spectrum of D_{∞ h} with respect to the left regular representation, and finds two generators of the De Rham cohomology group of joint resolvent set which is induced by different central linear functionals. Through action of D_{∞ h} on 4-ary trees, we get a self-similar realization of the group C^* algebra of D_{∞ h}.

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