The KK-theory of amalgamated free products - Normandie Université Access content directly
Journal Articles Advances in Mathematics Year : 2020

The KK-theory of amalgamated free products

Pierre Fima
  • Function : Author
  • PersonId : 882656
Emmanuel Germain

Abstract

We prove a long exact sequence in KK-theory for both full and reduced amalgamated free products in the presence of conditional expectations. In the course of the proof, we established the KK-equivalence between the full amalgamated free product of two unital C*-algebras and a newly defined reduced amalgamated free product that is valid even for non GNS-faithful conditional expectations. Our results unify, simplify and generalize all the previous results obtained before by Cuntz, Germain and Thomsen.
Fichier principal
Vignette du fichier
S0001870820302000.pdf (668.62 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01876567 , version 1 (20-05-2022)

Licence

Attribution - NonCommercial

Identifiers

Cite

Pierre Fima, Emmanuel Germain. The KK-theory of amalgamated free products. Advances in Mathematics, 2020, pp.107174. ⟨10.1016/j.aim.2020.107174⟩. ⟨hal-01876567⟩
363 View
48 Download

Altmetric

Share

Gmail Facebook X LinkedIn More