On Gelfand pairs associated to transitive groupoids

• Autorzy: Toure I. , Kangni K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

transitive groupoids; groupoid representation; Gelfand pairs

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 4
• Strony: 751--762
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Toure I.

• Université de Cocody-Abidjan UFR de Mathématiques et Informatique 22 BP 582 Abidjan 22

autor

Kangni K.

• Université de Cocody-Abidjan UFR de Mathématiques et Informatique 22 BP 582 Abidjan 22

Bibliografia

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