Trace methods in twisted group algebras, II
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- by J. M. Osterburg and D. S. Passman
- Proc. Amer. Math. Soc. 130 (2002), 3495-3506
- DOI: https://doi.org/10.1090/S0002-9939-02-06483-3
- Published electronically: March 29, 2002
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Abstract:
In this note, we continue our discussion of trace methods in twisted group algebras. Specifically, we obtain the twisted analog of Bass’ theorem on the traces of idempotents in ordinary group algebras. Indeed, we show that with suitable normalization, the characteristic $0$ trace values of an idempotent are all contained in a cyclotomic field. The proof is a variant of the original argument combined with a reduction to finitely presented groups.References
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Bibliographic Information
- J. M. Osterburg
- Affiliation: Department of Mathematics, University of Cincinnati, Cincinnati, Ohio 45221
- Email: james.osterburg@math.uc.edu
- D. S. Passman
- Affiliation: Mathematics Department, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 136635
- Email: passman@math.wisc.edu
- Received by editor(s): July 13, 2001
- Published electronically: March 29, 2002
- Additional Notes: The first author’s research was supported by the Taft Committee of the University of Cincinnati. He would also like to thank the Mathematics Department of the University of Wisconsin for its hospitality. The second author’s research was supported in part by NSF Grant DMS-9820271.
- Communicated by: Lance W. Small
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3495-3506
- MSC (2000): Primary 16S35
- DOI: https://doi.org/10.1090/S0002-9939-02-06483-3
- MathSciNet review: 1918825