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Beurling-Fourier algebras and complexification.
- Source :
-
Advances in Mathematics . May2024, Vol. 445, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fourier algebras as a subset of an abstract complexification of the corresponding group for a wide class of groups and weights. This generalizes recent related results of Ghandehari-Lee-Ludwig-Spronk-Turowska [11] about the spectrum of Beurling-Fourier algebras on some Lie groups. In the case of discrete groups we show that the spectrum of Beurling-Fourier algebra is homeomorphic to the group itself. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*DISCRETE groups
*ABSTRACT algebra
*LIE algebras
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 445
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176809651
- Full Text :
- https://doi.org/10.1016/j.aim.2024.109671