Skip to main content
placeholder image

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

Journal Article


Abstract


  • 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.

UOW Authors


  •   Sierakowski, Adam (external author)
  •   Sims, Aidan

Publication Date


  • 2021

Citation


  • Patterson, Q., Sierakowski, A., Sims, A., & Taylor, J. (2021). Graded K-theory and K-homology of relative Cuntz¿Pimsner algebras and graph C¿-algebras. Journal of Mathematical Analysis and Applications, 496(2). doi:10.1016/j.jmaa.2020.124822

Scopus Eid


  • 2-s2.0-85097455140

Web Of Science Accession Number


Volume


  • 496

Issue


  • 2

Abstract


  • 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.

UOW Authors


  •   Sierakowski, Adam (external author)
  •   Sims, Aidan

Publication Date


  • 2021

Citation


  • Patterson, Q., Sierakowski, A., Sims, A., & Taylor, J. (2021). Graded K-theory and K-homology of relative Cuntz¿Pimsner algebras and graph C¿-algebras. Journal of Mathematical Analysis and Applications, 496(2). doi:10.1016/j.jmaa.2020.124822

Scopus Eid


  • 2-s2.0-85097455140

Web Of Science Accession Number


Volume


  • 496

Issue


  • 2