The group ring $\mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals
Archivum mathematicum, Tome 55 (2019) no. 1, pp. 23-30 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2019-1-23
Classification : 20N99
Keywords: Thompson’s Group $F$; amenability; minimal ideal
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Donnelly, John. The group ring $\mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals. Archivum mathematicum, Tome 55 (2019) no. 1, pp. 23-30. doi: 10.5817/AM2019-1-23

[1] Brin, M., Squier, C.: Groups of piecewise linearhomeomorphisms of the real line. Invent. Math. 79 (3) (1985), 485–498. | DOI | MR

[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

[3] Frey, A.H.: Studies on Amenable Semigroups. Ph.D. thesis, University of Washington, 1960. | MR

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