Localization C*-algebras and index pairing

Chaohua Zhang ÕÅ³¬»ª

*(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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