Geodesic
Semigroup crossed products and Hecke algebras arising from number fields
Documenta mathematica, Tome 2 (1997), pp. 115-138
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Recently Bost and Connes considered a Hecke C∗-algebra arising from the ring inclusion of Z in 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.
DOI : 10.4171/dm/25
Classification : 11R04, 22D25, 46L55
Mots-clés : Hecke algebra, semigroup dynamical system, covariant representation 
@article{10_4171_dm_25,
     author = {Jane Arledge and Marcelo Laca and Iain Raeburn},
     title = {Semigroup crossed products and {Hecke} algebras arising from number fields},
     journal = {Documenta mathematica},
     pages = {115--138},
     year = {1997},
     volume = {2},
     doi = {10.4171/dm/25},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/25/}
}
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Jane Arledge; Marcelo Laca; Iain Raeburn. Semigroup crossed products and Hecke algebras arising from number fields. Documenta mathematica, Tome 2 (1997), pp. 115-138. doi: 10.4171/dm/25

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