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Non-amenable tight squeezes by Kirchberg algebras
| Title: | Non-amenable tight squeezes by Kirchberg algebras |
| Authors: | Suzuki, Yuhei Browse this author →KAKEN DB |
| Issue Date: | Feb-2022 |
| Publisher: | Springer |
| Journal Title: | Mathematische annalen |
| Volume: | 382 |
| Issue: | 1-2 |
| Start Page: | 631 |
| End Page: | 653 |
| Publisher DOI: | 10.1007/s00208-021-02262-y |
| Abstract: | We give a framework to produce C*-algebra inclusions with extreme properties. This gives the first constructive nuclear minimal ambient C*-algebras. We further obtain a purely infinite analogue of Dadarlat's modeling theorem on AF-algebras: Every Kirchberg algebra is rigidly and KK-equivalently sandwiched by non-nuclear C*algebras without intermediate C*-algebras. Finally we reveal a novel property of Kirchberg algebras: They embed into arbitrarily wild C*-algebras as rigid maximal C*-subalgebras. |
| Rights: | This is a post-peer-review, pre-copyedit version of an article published in Mathematische Annalen. The final authenticated version is available online at: http://doi.org/10.1007/s00208-021-02262-y |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/88183 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 鈴木 悠平
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