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The KK-theory of amalgamated free products

Published 8 Oct 2015 in math.OA and math.KT | (1510.02418v3)

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.

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Authors (2)

  1. Pierre Fima 
  2. Emmanuel Germain 

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