Geodesic
Semigroup crossed products and Hecke algebras arising from number fields
Documenta mathematica, Tome 2 (1997), pp. 115-138.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Recently Bost and Connes considered a Hecke $C^*$-algebra arising from the ring inclusion of $\Bbb Z$ in $\Bbb Q$, and a $C^*$-dynamical system involving this algebra. Laca and Raeburn realized this algebra as a semigroup crossed product, and studied it using techniques they had previously developed for studying Toeplitz algebras. Here we associate Hecke algebras to general number fields, realize them as semigroup crossed products, and analyze their representations.
Classification : 46L55, 11R04, 22D25
Keywords: semigroup dynamical system, covariant representation, Hecke algebra 
@article{DOCMA_1997__2__a10,
     author = {Arledge, Jane and Laca, Marcelo and Raeburn, Iain},
     title = {Semigroup crossed products and {Hecke} algebras arising from number fields},
     journal = {Documenta mathematica},
     pages = {115--138},
     publisher = {mathdoc},
     volume = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a10/}
}
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Arledge, Jane; Laca, Marcelo; Raeburn, Iain. Semigroup crossed products and Hecke algebras arising from number fields. Documenta mathematica, Tome 2 (1997), pp. 115-138. http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a10/