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October 15, 2012
Monday, October 15
Noncommutative Geometry
Time: 14:30
Speaker: Sajad Sadeghi (Western)
Title: "NCG Learning Seminar: Hecke C*-algebras"
Room: MC 107

Abstract: In this lecture we first give some examples of states and GNS constructions. Then we introduce the reduced group C-algebra of a discrete group. Moreover, the Hecke pair (G,H) consisting of a group G and an almost normal subgroup H will be introduced. Indeed, a subgroup H of a group G is called almost normal if every double coset HgH can be written as a union of finite number of left cosets. Using Hecke pairs we introduce Hecke C-algebras as a generalization of group C-algebras. Finally we piont to the Bost-Connes pair and its Hecke C-algebra.