2005年
C*-algebras associated with the fundamental groups of graphs of groups
MATHEMATICA SCANDINAVICA
- 巻
- 97
- 号
- 1
- 開始ページ
- 49
- 終了ページ
- 72
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- MATEMATISK INST
We construct a nuclear C*-algebra associated with the fundamental group of a graph of groups of finite type. It is well-known that every word-hyperbolic group with zero-dimensional boundary, in other words, every group acting trees with finite stabilizers is given by the fundamental group of such a graph of groups. We show that our C*-algebra is *-isomorphic to the crossed product arising from the associated boundary action and is also given by a Cuntz-Pimsner algebra. We also compute the K-groups and determine the ideal structures of our C*-algebras.
- リンク情報
- ID情報
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- ISSN : 0025-5521
- Web of Science ID : WOS:000234034900004