Toeplitz-Composition C*-Algebras for certain finite blaschke products

Hiroyasu Hamada, Yasuo Watatani

研究成果: Contribution to journalArticle

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Let 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 Cr on the Hardy space and the C*-algebra Οr(Jr) associated with the complex dynamical system (Ron)n on the Julia set Jr. We study the C*-algebra τCr generated by both the composition operator Cr and the Toeplitz operator Tz to show that the quotient algebra by the ideal of the compact operators is isomorphic to the C*-algebra Οr(Jr), which is simple and purely infinite.

元の言語英語
ページ(範囲)2113-2123
ページ数11
ジャーナルProceedings of the American Mathematical Society
138
発行部数6
DOI
出版物ステータス出版済み - 6 1 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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