Graded K-theory and K-homology of relative Cuntz–Pimsner algebras and graph C⁎-algebras

Patterson Quinn,Sierakowski Adam,Sims Aidan,Taylor Jonathan

Journal of Mathematical Analysis and Applications（2021）

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摘要

We establish exact sequences in KK-theory for graded relative Cuntz–Pimsner algebras associated to nondegenerate C⁎-correspondences. We use this to calculate the graded K-theory and K-homology of relative Cuntz–Krieger algebras of directed graphs for gradings induced by {0,1}–valued labellings of their edge sets.

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关键词

KK-theory,Graded K-theory,C⁎-algebra,Graded C⁎-algebra

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