Add to ORKGAbstract. Given a graph of C*-algebras as defined in [FF13], we prove a long exact sequence in KK-theory similar to the one obtained by Pimsner in [Pi86] for both the maximal and reduced fundamental C*-algebras of the graph in the presence of possibly non-GNS-faithful conditional expectations. In particular, our results give a long exact sequence in KK-theory for both maximal and reduced amalgamated free products and HNN-extensions. 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. This KK-equivalence is again true in the general context. Our re...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
AbstractWe study completions of diagrams of extensions of C*-algebras in which all three C*-algebras...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
AbstractWe establish six terms exact sequences relating the KK-theory groups and the E-theory groups...
AbstractWe establish six terms exact sequences relating the KK-theory groups and the E-theory groups...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
International audienceWe establish in this paper the existence of a long exact sequence in KKtheoryf...
International audienceWe establish in this paper the existence of a long exact sequence in KKtheoryf...
International audienceWe establish in this paper the existence of a long exact sequence in KKtheoryf...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
AbstractWe study completions of diagrams of extensions of C*-algebras in which all three C*-algebras...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
V.3, the paper has been splitted into two papers, this is the first part on amalgamated free product...
AbstractWe establish six terms exact sequences relating the KK-theory groups and the E-theory groups...
AbstractWe establish six terms exact sequences relating the KK-theory groups and the E-theory groups...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
International audienceWe establish in this paper the existence of a long exact sequence in KKtheoryf...
International audienceWe establish in this paper the existence of a long exact sequence in KKtheoryf...
International audienceWe establish in this paper the existence of a long exact sequence in KKtheoryf...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...
AbstractWe study completions of diagrams of extensions of C*-algebras in which all three C*-algebras...
International audienceIn [2], the first author had presented a method to obtain a K-equivalence betw...