IJPAM: Volume 107, No. 3 (2016)
ARISING IN NUMBER THEORY
Princess Sumaya University for Technology
Abstract. The algebra arises in number theory and has been studied in [#!BC!#] of Bost and Connes. Laca and Raeburn continued the study in [#!LR!#] and gave an improvement of the theorem of Bost and Connes. This leads us to consider a closely related algebra because of its interesting connections with -algebras and group algebras.
In this paper we give a detailed proof of Laca and Raeburn's theorem. Then we define a new Hecke pair
and show that the Hecke algebra
is a universal -algebra generated by
and a new element
Received: March 2, 2016
AMS Subject Classification: 20C08, 33D80
Key Words and Phrases: Hecke algebras, Hecke pair , universal -algebra, Hecke algebra
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DOI: 10.12732/ijpam.v107i3.20 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 723 - 748
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