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Vol.21 (2008) >
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| Title | : | K-theory for amalgams and multi-ones of C^∗-algebras |
| Authors | : | Sudo, Takahiro |
| Issue Date | : | 30-Dec-2008 |
| Abstract | : | We obtain a six-term exact sequence of K-theory for (full) amalgams of C^*-algebras. We also obtain a six-term exact sequence of K-theory for the full crossed product of a C^* -algebra by an amalgam of discrete groups, as well. Furthermore, it follows from this result and K-amenability for discrete (or locally compact) groups that the same is true for its reduced crossed product. We also study K-theory of (full) multi-amalgams of the (full) group C^*-algebras of discrete groups. As an important application we compute K-groups of the full group C^*-algebras of SL_n(Z) (n > 3).In addition, an appendix on K-theory and beyond and an appendix on finite subgroups of GL_3(Z) and SL_3(Z) are presented.
正誤表追加 : 2019年2月4日
正誤表は、Ryukyu Mathmatical Journal vol.22（2009）に掲載されたもの |
| Type Local | : | 紀要論文 |
| ISSN | : | 1344-008X |
| Publisher | : | Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus |
| URI | : | http://hdl.handle.net/20.500.12000/43505 |
| Citation | : | Ryukyu mathematical journal Vol.21 p.57 -139 |
| Appears in Collections | : | Vol.21 (2008)
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Files in This Item:
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Description |
Size | Format |
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| Vol21p057.pdf | | 7727Kb | Adobe PDF | View/Open | | Vol22p115.pdf | 正誤表 | 232Kb | Adobe PDF | View/Open |
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