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QA471.SPR. FCT 94745 Projective and Cayley-Klein geometries QA135.5.SPR. FCT 94746 Eléments de mathématique QA76.88.SPR. FCT 94748 High performance computing on vector systems QA326.SPR. FCT 94751 C*-algebras and elliptic theory R853.SPR. FCT 94753 Data monitoring in clinical trials QA331.5.SPR. FCT 94754 Convex functions and their applications QA268.SPR. FCT 94758 Self-dual codes and invariant theory

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This volume contains the proceedings of the conference on "C*-algebras and Elliptic Theory" held in Bedlewo, Poland, in February 2004. It consists of original research papers and expository articles focussing on index theory and topology of manifolds. The collection offers a cross-section of significant recent advances in several fields, the main subject being K-theory (of C*-algebras, equivariant K-theory). A number of papers is related to the index theory of pseudodifferential operators on singular manifolds (with boundaries, corners) or open manifolds. Further topics are Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others. The wide spectrum of subjects reflects the diverse directions of research emanating from the Atiyah-Singer index theorem. Contributors: B. Bojarski, J. Brodzki, D. Burghelea, A. Connes, J. Eichhorn, T. Fack, S. Haller, Yu.A. Kordyukov, V. Manuilov, V. Nazaikinskii, G.A. Niblo, F. Nicola, I.M. Nikonov, V. Nistor, L. Rodino, A. Savin, V.V. Sharko, G.I. Sharygin, B. Sternin, K. Thomsen, E.V. Troitsky, E. Vasseli, A. Weber .

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