| Title:
|
The group ring $\mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals (English) |
| Author:
|
Donnelly, John |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
23-30 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We use a total order on Thompson’s group $F$ to show that the group ring $\mathbb{K}F$ has no minimal non-zero ideals. (English) |
| Keyword:
|
Thompson’s Group $F$ |
| Keyword:
|
amenability |
| Keyword:
|
minimal ideal |
| MSC:
|
20N99 |
| idZBL:
|
Zbl 07088755 |
| idMR:
|
MR3939061 |
| DOI:
|
10.5817/AM2019-1-23 |
| . |
| Date available:
|
2019-03-23T12:19:40Z |
| Last updated:
|
2020-02-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147647 |
| . |
| Reference:
|
[1] Brin, M., Squier, C.: Groups of piecewise linearhomeomorphisms of the real line.Invent. Math. 79 (3) (1985), 485–498. MR 0782231, 10.1007/BF01388519 |
| Reference:
|
[2] Cannon, J.W., Floyd, W.J., Parry, W.R.: Introductory notes on Richard Thompson’s groups.Enseign. Math. 42 3–4) (1996), 215–256. MR 1426438 |
| Reference:
|
[3] Frey, A.H.: Studies on Amenable Semigroups.Ph.D. thesis, University of Washington, 1960. MR 2613109 |
| . |
