- Tytuł:
- On Gelfand pairs associated to transitive groupoids
- Autorzy:
-
Toure, I.
Kangni, K. - Powiązania:
- https://bibliotekanauki.pl/articles/952843.pdf
- Data publikacji:
- 2013
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
transitive groupoids
groupoid representation
Gelfand pairs - Opis:
- Let G be a topological locally compact, Hausdorff and second countable groupoid with a Haar system and K a compact subgroupoid of G with a Haar system too. (G,K) is a Gelfand pair if the algebra of bi-K-invariant functions is commutative under convolution. In this paper, we give a characterization of Gelfand pairs associated to transitive groupoids which generalize a well-known result in the groups case. Using this result, we prove that the study of Gelfand pairs associated to transitive groupoids is equivalent to that of Gelfand pairs associated to its isotropy groups.
- Źródło:
-
Opuscula Mathematica; 2013, 33, 4; 751-762
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł