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THE KK-THEORY OF AMALGAMATED FREE PRODUCTS

by Pierre Fima, Emmanuel Germain
"... Abstract. 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 pa ..."
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. 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

KK: Advanced genetic strategies for recombinant protein expression in Escherichia coli

by Hans Peter Sørensen, Kim Kusk Mortensen - and Lee Microbial Cell Factories 2010, 9:63 http://www.microbialcellfactories.com/content/9/1/63 Page 13 of 13
"... Preparations enriched by a specific protein are rarely easily obtained from natural host cells. Hence, recombinant protein production is frequently the sole applicable procedure. The ribosomal machinery, located in the cytoplasm is an outstanding catalyst of recombinant protein biosynthesis. Escheri ..."
Abstract - Cited by 83 (0 self) - Add to MetaCart
Preparations enriched by a specific protein are rarely easily obtained from natural host cells. Hence, recombinant protein production is frequently the sole applicable procedure. The ribosomal machinery, located in the cytoplasm is an outstanding catalyst of recombinant protein biosynthesis

KK-theory of reduced free product C*-algebras

by Emmanuel Germain - ACCEPTED DUKE MATH JOURNAL , 1996
"... ..."
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Amalgamated free product C*-algebras and KK-theory

by Emmanuel Germain
"... We present here the result of our investigation on the K-theory invariants of free product C*-algebras. The free products we consider are either full or reduced free products in the category of unital separable C*-algebras (and unital morphisms) and some of their quotients (amalgamation over a commo ..."
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We present here the result of our investigation on the K-theory invariants of free product C*-algebras. The free products we consider are either full or reduced free products in the category of unital separable C*-algebras (and unital morphisms) and some of their quotients (amalgamation over a

KK photoproduction and S − P wave interference

by Adam P. Szczepaniak , 2008
"... Results of a new analysis of the K + K − photoproduction at two photon energies Eγ = 4 GeV and 5.65 GeV with a particular emphasis on the S-wave production are presented. We show that the proper treatment of all the helicity components of the S- and P-waves enables one to eliminate the reported disc ..."
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Results of a new analysis of the K + K − photoproduction at two photon energies Eγ = 4 GeV and 5.65 GeV with a particular emphasis on the S-wave production are presented. We show that the proper treatment of all the helicity components of the S- and P-waves enables one to eliminate the reported

THE BAUM-CONNES CONJECTURE FOR KK-THEORY

by Uuye Otgonbayar , 2004
"... Abstract. We define and study a bivariant generalization of the topological K-group K top (G) for a topological group G. We consider the Baum-Connes conjecture in this context and study its relation to the usual Baum-Connes conjecture. Generalizations of the Universal Coefficient Theorem and the Gre ..."
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and the Green-Julg theorem are presented. K-theory has been one of the most successful tools for analyzing C ∗-algebras and C ∗-dynamical systems. In this paper we consider the Baum-Connes conjecture, which proposes a way to compute the K-theory of a reduced crossed product algebra. First we recall

A LIFTING THEOREM GIVING AN ISOMORPHISM OF KK-PRODUCTS IN BOUNDED AND UNBOUNDED KK-THEORY

by Dan Kucerovsky, Communicated Şerban Strătilă
"... Abstract. We prove a generalization of the Kasparov technical theorem. It is known that KK-theory cycles can be defined using unbounded operators ([3]), even in the equivariant case ([15]). We apply this generalized Kasparov technical theorem to a problem involving the Kasparov product of cycles def ..."
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Abstract. We prove a generalization of the Kasparov technical theorem. It is known that KK-theory cycles can be defined using unbounded operators ([3]), even in the equivariant case ([15]). We apply this generalized Kasparov technical theorem to a problem involving the Kasparov product of cycles

KK-theory of the full free product of unital C*-algebras

by Emmanuel Germain
"... We establish in this paper the existence of a long exact sequence in KK-theory for the full free product of unital C*-algebras having the Knuclearity property. It was first conjectured by Cuntz in 1982 and only proved so far for C*-algebras having a one dimensional representation or for reduced (dis ..."
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We establish in this paper the existence of a long exact sequence in KK-theory for the full free product of unital C*-algebras having the Knuclearity property. It was first conjectured by Cuntz in 1982 and only proved so far for C*-algebras having a one dimensional representation or for reduced

ON THE KK-THEORY AND THE E-THEORY OF AMALGAMATED FREE PRODUCTS OF C ∗-ALGEBRAS

by Klaus Thomsen
"... Abstract. We establish six terms exact sequences relating the KK-theory groups and the E-theory groups of an amalgamated free product C ∗-algebra, A1 ∗B A2, to the respective groups for the three constituents, A1, A2 and B. In the KKtheory case we assume the existence of conditional expectations fro ..."
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Abstract. We establish six terms exact sequences relating the KK-theory groups and the E-theory groups of an amalgamated free product C ∗-algebra, A1 ∗B A2, to the respective groups for the three constituents, A1, A2 and B. In the KKtheory case we assume the existence of conditional expectations

KK-theory of C*-categories and the analytic assembly map

by Paul D. Mitchener , 2000
"... We define KK-theory spectra associated to C ? -categories and look at certain instances of the Kasparov product at this level. This machinery is used to give a description of the analytic assembly map as a natural map of spectra. Contents 1 Preliminaries 1 1.1 C ? -categories and their K-theor ..."
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We define KK-theory spectra associated to C ? -categories and look at certain instances of the Kasparov product at this level. This machinery is used to give a description of the analytic assembly map as a natural map of spectra. Contents 1 Preliminaries 1 1.1 C ? -categories and their K
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