2002年2月
Cuntz-Krieger-Pimsner algebras associated with amalgamated free product groups
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
- 巻
- 38
- 号
- 1
- 開始ページ
- 147
- 終了ページ
- 190
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2977/prims/1145476420
- 出版者・発行元
- KYOTO UNIV
We give a construction of a nuclear C*-algebra associated with an amalgamated free product of groups, generalizing Spielberg's construction of a certain Cuntz-Krieger algebra associated with a finitely generated free product of cyclic groups. Our nuclear C*-algebras can be identified with certain Cuntz-Krieger-Pimsner algebras. We will also show that our algebras can be obtained by the crossed product construction of the canonical actions on the hyperbolic boundaries, which proves a special case of Adams' result about amenability of the boundary action for hyperbolic groups. We will also give an explicit formula of the K-groups of our algebras. Finally we will investigate a relationship between the KMS states of the generalized gauge actions on our C* algebras and random walks on the groups.
- リンク情報
- ID情報
-
- DOI : 10.2977/prims/1145476420
- ISSN : 0034-5318
- Web of Science ID : WOS:000174930100006