2005/09/26 by Michael T. Jury, Jury, Michael T.
Mathematics · #20H10 #46L80 #47B33 (primary) #47L80 (secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:20H10 #msc:46L80 #msc:47B33 #msc:47L80
paper · pdf · doi:10.48550/arxiv.math/0509614
25 pages, no figures
arxiv created 2005/09/26 · openalex publication_date 2005/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the C*-algebra generated by a group of composition operators acting on certain reproducing kernel Hilbert spaces over the disk, where the symbols belong to a non-elementary Fuchsian group. We show that such a C*-algebra contains the compact operperators, and its quotient is isomorphic to the crossed product C*-algebra determined by the action of the group on the boundary circle. In addition we show that the C*-algebras obtained from composition operators acting on a natural family of Hilbert spaces are in fact isomorphic, and also determine the same Ext-class, which can be related to known extensions of the crossed product.