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Equivariant algebraic \(KK\)-theory and adjointness theorems

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Publication:401720
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DOI10.1016/j.jalgebra.2013.09.023zbMath1317.19010arXiv1301.1491OpenAlexW2964233448MaRDI QIDQ401720

Eugenia Ellis

Publication date: 27 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1491


zbMATH Keywords

algebraic \(KK\)-theoryequivariant \(KK\)-theoryinduction and restriction


Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Kasparov theory ((KK)-theory) (19K35)


Related Items (4)

Graded \(K\)-theory and Leavitt path algebras ⋮ Algebraic \(k\,k\)-theory and the KH-isomorphism conjecture ⋮ Algebraic quantum kk-theory ⋮ \(kk\)-theory for Banach algebras. II: Equivariance and Green-Julg type theorems



Cites Work

  • A new look at KK-theory
  • A characterization of KK-theory
  • \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory)
  • Bivariant \(K\)-theory and the Weyl algebra
  • Equivariant 𝐸-theory for 𝐶*-algebras
  • Bivariant algebraic K-theory
  • Simplicial homotopy theory
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