The C^*-algebra of a composition reflection

2025/04/15 by Andruchow, Esteban
#47A05 #47B15 #47B33 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2504.11614

Abstract

We study the C^* algebra generated by the composition operator C_a acting on the Hardy space H² of the unit disk, given by C_af=f∘φ_a, where φ_a(z)=\fraca-z1-az, for |a|<1. Also several operators related to C_a are examined.

Related

• Symmetries and reflections from composition operators in the disk
• Composition operators within singly generated composition C*-algebras
• The C*-algebra generated by irreducible Toeplitz and composition operators
• A Semigroup Composition C*-algebra
• C*-algebras generated by groups of composition operators