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Representations of Hecke Algebras and Dilations of Semigroup Crossed Products
Author(s) -
Larsen Nadia S.,
Raeburn Iain
Publication year - 2002
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003368
Subject(s) - endomorphism , mathematics , crossed product , pure mathematics , semigroup , unitary state , hecke algebra , algebra over a field , product (mathematics) , group (periodic table) , geometry , political science , law , chemistry , organic chemistry
A family of Hecke C * ‐algebras can be realised as crossed products by semigroups of endomorphisms. It is shown by dilating representations of the semigroup crossed product that the category of representations of the Hecke algebra is equivalent to the category of continuous unitary representations of a totally disconnected locally compact group.