Add to ORKGV.3, the paper has been splitted into two papers, this is the first part on amalgamated free productsWe 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
. Certain reduced free products of C --algebras with respect to faithful states are simple and pu...
AbstractThe notion of a partial crossed product of a C*-algebra by the group of integers introduced ...
International audienceWe prove Khintchine type inequalities for words of a fixed length in a reduced...
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...
Abstract. Given a graph of C*-algebras as defined in [FF13], we prove a long exact sequence in KK-th...
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...
Given reduced amalgamated free products of C∗-algebras (A,φ) = ∗ ι∈I(Aι, φι) and (D,ψ) = ι∈I(Dι, ψι...
. Certain reduced free products of C --algebras with respect to faithful states are simple and pu...
AbstractThe notion of a partial crossed product of a C*-algebra by the group of integers introduced ...
International audienceWe prove Khintchine type inequalities for words of a fixed length in a reduced...
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...
Abstract. Given a graph of C*-algebras as defined in [FF13], we prove a long exact sequence in KK-th...
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...
Given reduced amalgamated free products of C∗-algebras (A,φ) = ∗ ι∈I(Aι, φι) and (D,ψ) = ι∈I(Dι, ψι...
. Certain reduced free products of C --algebras with respect to faithful states are simple and pu...
AbstractThe notion of a partial crossed product of a C*-algebra by the group of integers introduced ...
International audienceWe prove Khintchine type inequalities for words of a fixed length in a reduced...