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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Differential equivariant K-theory

Ortiz, Michael Luis, 1979- 16 October 2012 (has links)
Following Hopkins and Singer, we give a definition for the differential equivariant K-theory of a smooth manifold acted upon by a finite group. The ring structure for differential equivariant K-theory is developed explicitly. We also construct a pushforward map which parallels the topological pushforward in equivariant K-theory. An analytic formula for the pushforward to the differential equivariant K-theory of a point is conjectured, and proved in the boundary case and for ordinary differential K-theory in general. The latter proof is due to K. Klonoff. / text
2

Differential equivariant K-theory

Ortiz, Michael Luis, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2009. / Title from PDF title page (University of Texas Digital Repository, viewed on Sept. 17, 2009). Vita. Includes bibliographical references.
3

A comparison of assembly maps in algebraic K-theory

Sperber, Ron. January 2004 (has links)
Thesis (Ph. D.)--State University of New York at Binghamton, Department of Mathematical Sciences, 2004. / Includes bibliographical references.
4

Adams operations on KO(X) ⊕ KSp (X)

Allard, Jacques January 1973 (has links)
Let KO(X) be the real and KSP(X) be the quaternionic K-theory of a finite CW-complex X . The tensor product and the exterior powers of vector bundles induce on L(X) = KO(X) ⊕ KSP(X) the structure of Z₂ -graded λ-ring. In this thesis it is shown, that the Adams operations Ѱk : L(X) → L(X) , k = l, 2, 3,..., which are associated to this λ-ring, are ring homomorphisms and satisfy the composition law Ѱk ₀ Ѱℓ = Ѱℓk = Ѱℓ ₀ Ѱk , k, ℓ = 1, 2, 3,... Finally, the ring L(X) together with its Ѱ-operations is explicitely determined for the quaternionic and complex projective spaces. / Science, Faculty of / Mathematics, Department of / Graduate
5

Differential T-equivariant K-theory

Alter, Mio Ilan 23 October 2013 (has links)
For T the circle group, we construct a differential refinement of T-equivariant K-theory. We first construct a de Rham model for delocalized equivariant cohomology and a delocalized equivariant Chern character based on [19] and [14]. We show that the delocalized equivariant Chern character induces a complex isomorphism. We then construct a geometric model for differential T-equivariant K-theory analogous to the model of differential K-theory in [27] and deduce its basic properties. / text
6

An index theorem in differential K-theory

Klonoff, Kevin Robert, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references.
7

C*-algebras of real rank zero.

January 1996 (has links)
by Wong Wah Fung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 53-54). / Introduction --- p.2 / Chapter 1 --- Preliminaries --- p.3 / Chapter 1.1 --- A Summary on C*-algebras --- p.3 / Chapter 1.2 --- Hereditary C*-subalgebras --- p.5 / Chapter 1.3 --- C*-Inductive Limit --- p.7 / Chapter 1.4 --- Basic K-Theory of C*-algebras --- p.9 / Chapter 2 --- C*-algebras of Real Rank Zero --- p.14 / Chapter 2.1 --- Basic Properties of C*-algebras with Real Rank Zero --- p.14 / Chapter 2.2 --- Strongly Morita Equivalence and Extensions --- p.30 / Chapter 3 --- Simple C*-algebras --- p.42 / Chapter 3.1 --- Basic Properties --- p.42 / Chapter 3.2 --- Cuntz Algebras --- p.51 / Bibliography --- p.53
8

A class of simple tracially AF C*-algebras /

Livingston, Nancy Eleanor. January 2001 (has links)
Thesis (Ph. D.)--University of Oregon, 2001. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 62-63). Also available for download via the World Wide Web; free to University of Oregon users.
9

Fan cohomology and its application to equivariant K-theory of toric varieties

Au, Suanne. January 2009 (has links)
Thesis (Ph.D.)--University of Nebraska-Lincoln, 2009. / Title from title screen (site viewed January 5, 2010). PDF text: vi, 65 p. : ill. ; 645 K. UMI publication number: AAT 3359857. Includes bibliographical references. Also available in microfilm and microfiche formats.
10

Fan cohomology and equivariant Chow rings of toric varieties

Huang, Mu-wan. January 2009 (has links)
Thesis (Ph.D.)--University of Nebraska-Lincoln, 2009. / Title from title screen (site viewed January 5, 2010). PDF text: v, 69 p. ; 721 K. UMI publication number: AAT 3360497. Includes bibliographical references. Also available in microfilm and microfiche formats.

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