Browsing Electronic Theses and Dissertations by Subject "Ktheory"
Now showing items 15 of 5

(20140609)Department: MathematicsGeneralizing Etheory for C*algebras of A. Connes and N. Higson, we defined Etheory for Lp algebras  a bivariant Ktheory for closed algebra of bounded linear operators on some Lp(µ) space. We showed that our theory has ...

(20080717)Department: MathematicsWe construct a uniform version of the analytic Khomology theory and prove its basic properties such as a MayerVietoris sequence. We show that uniform Khomology is isomorphic to a direct limit of Ktheories of certain ...

(20090727)Department: MathematicsWe study the interplay between spectral morphisms, Ktheory, and stable ranks for Banach algebras and, more generally, for Frechet algebras with open group of invertibles. After some preliminaries on the Gelfand transform, ...

(20131213)Department: MathematicsThe AtiyahSinger index theorem has been vastly generaized to higher index theory for elliptic operators in the context of noncommutative geometry. Higher index theory has important applications in differential topology ...

(20190722)Department: MathematicsWe prove that the Novikov conjecture is satisfied by any discrete torsionfree group admitting an isometric and metrically proper action on a nonpositively curved complete simplyconnected Hilbert manifold with enough ...