Lista de ejemplares disponibles

1. THE ELEMENTARY ALGEBRA OF K-THEORY. Proyective modules, idempotents, and vector bundles. Passage to K-theory. Exactness properties of K-theory 2. FUNCTIONAL CALCULUS AND TOPOLOGICAL K-THEORY. Bornological analysis. Homotopy invariance and exact sequences for local Banach algebras. invariance of K-theory for isoradial subalgebras 3. HOMOTOPY INVARIANCE OF STABILISED ALGEBRAIC K-THEORY. Ingredients in the proof. The homotopy invariance result 4. BOTT PERIODICITY. 5. THE K-THEORY OF CROSSED PRODUCTS. Crossed products for a single automorphism. The Pimsner-Voiculescu exact sequence. A glimpse of the Baum-connes conjecture 6. TOWARDS BIVARIANT K-THEORY: HOW TO CLASSIFY EXTENSIONS 7. BIVARIANT K-THEORY FOR BORNOLOGICAL ALGEBRAS 8. A SURVEY OF BIVARIANT K-THEORIES. K-Theory with coefficients. Algebraic dual K-theory. Homotopy-theoretic KK-theory. Brown-Douglas-Fillmore extension theory. Bivariant K-theories for C*-algebras. Equivariant bivariant K-theories 9. ALGEBRAS OF CONTINUOUS TRACE, TWISTED K-THEORY 10. CROSSED PRODUCTS BY R AND CONNESTHOM ISOMORPHISM 11. APPLICATIONS TO PHYSICS 12. SOME CONNECTIONS WITH INDEX THEORY 13. lOCALISATION OF TRIANGULATED CATEGORIES.

Compra: Gestión 2009. Dr. Javier Guachalla. Recursos IDH.