The group ring of Richard Thompson’s Group has no minimal non-zero ideals
Archivum Mathematicum (2019)
- Volume: 055, Issue: 1, page 23-30
- ISSN: 0044-8753
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topDonnelly, John. "The group ring $\mathbb {K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals." Archivum Mathematicum 055.1 (2019): 23-30. <http://eudml.org/doc/294771>.
@article{Donnelly2019,
abstract = {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.},
author = {Donnelly, John},
journal = {Archivum Mathematicum},
keywords = {Thompson’s Group $F$; amenability; minimal ideal},
language = {eng},
number = {1},
pages = {23-30},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The group ring $\mathbb \{K\}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals},
url = {http://eudml.org/doc/294771},
volume = {055},
year = {2019},
}
TY - JOUR
AU - Donnelly, John
TI - The group ring $\mathbb {K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 1
SP - 23
EP - 30
AB - 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.
LA - eng
KW - Thompson’s Group $F$; amenability; minimal ideal
UR - http://eudml.org/doc/294771
ER -
References
top- Brin, M., Squier, C., 10.1007/BF01388519, Invent. Math. 79 (3) (1985), 485–498. (1985) MR0782231DOI10.1007/BF01388519
- Cannon, J.W., Floyd, W.J., Parry, W.R., Introductory notes on Richard Thompson’s groups, Enseign. Math. 42 3–4) (1996), 215–256. (1996) MR1426438
- Frey, A.H., Studies on Amenable Semigroups, Ph.D. thesis, University of Washington, 1960. (1960) MR2613109
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