Toeplitz-composition C*-algebras for certain finite Blaschke products

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dc.creatorHamada, Hiroyasu
dc.creatorWatatani, Yasuo
dc.date2008-09-18
dc.date.accessioned2026-07-07T10:03:42Z
dc.date.available2026-07-07T10:03:42Z
dc.descriptionLet R be a finite Blaschke product of degree at least two with R(0)=0. Then there exists a relation between the associated composition operator C_R on the Hardy space and the C*-algebra associated with the complex dynamical system on the Julia set of R. We study the C*-algebra generated by both the composition operator C_R and the Toeplitz operator T_z to show that the quotient algebra by the ideal of the compact operators is isomorphic to the C*-algebra associated with the complex dynamical system, which is simple and purely infinite.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0809.3061
dc.identifierhttp://arxiv.org/abs/0809.3061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169384
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L55, 47B33, 37F10, 46L08
dc.titleToeplitz-composition C*-algebras for certain finite Blaschke products
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