Localization C*-algebras and index pairing

Chaohua Zhang 张超华  (East China Normal University)

14:00-15:00,April 12,2023   A503

Abstract:

Kasparov KK-theory for a pair of C*-algebras (A，B) can be formulated equivalently in terms of the K-theory of Yu’s localization algebra by Dadarlat-Willett-Wu。We investigate the pairings between K-theory K_j(A) and the two notions of KK-theory which are Kasparov KK-theory KK_i(A，B) and the localization algebra description of KK_i(A，B) and show that the two pairings are compatible. This is a joint work with Hang Wang and Dapeng Zhou.

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