Bost-Connes systems, Hecke algebras, and inductionReport as inadecuate



 Bost-Connes systems, Hecke algebras, and induction


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We consider a Hecke algebra naturally associated with the affine group with totally positive multiplicative part over an algebraic number field K and we show that the C*-algebra of the Bost-Connes system for K can be obtained from our Hecke algebra by induction, from the group of totally positive principal ideals to the whole group of ideals. Our H

Author: Marcelo Laca; Sergey Neshveyev; Mak Trifkovic

Source: https://archive.org/







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