Spelling suggestions: "subject:"atheory"" "subject:"astheory""
1 
Differential equivariant KtheoryOrtiz, Michael Luis, 1979 16 October 2012 (has links)
Following Hopkins and Singer, we give a definition for the differential equivariant Ktheory of a smooth manifold acted upon by a finite group. The ring structure for differential equivariant Ktheory is developed explicitly. We also construct a pushforward map which parallels the topological pushforward in equivariant Ktheory. An analytic formula for the pushforward to the differential equivariant Ktheory of a point is conjectured, and proved in the boundary case and for ordinary differential Ktheory in general. The latter proof is due to K. Klonoff. / text

2 
Differential equivariant KtheoryOrtiz, 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 KtheorySperber, 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 Ktheory of a finite CWcomplex X . The tensor product and the exterior powers of vector bundles induce on
L(X) = KO(X) ⊕ KSP(X) the structure of Z₂ graded λring.
In this thesis it is shown, that the Adams operations
Ѱk : L(X) → L(X) , k = l, 2, 3,...,
which are associated to this λring, 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 Ѱoperations is explicitely determined for the quaternionic and complex projective spaces. / Science, Faculty of / Mathematics, Department of / Graduate

5 
Differential Tequivariant KtheoryAlter, Mio Ilan 23 October 2013 (has links)
For T the circle group, we construct a differential refinement of Tequivariant Ktheory. 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 Tequivariant Ktheory analogous to the model of differential Ktheory in [27] and deduce its basic properties. / text

6 
An index theorem in differential KtheoryKlonoff, 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 5354). / 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 KTheory 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 6263). Also available for download via the World Wide Web; free to University of Oregon users.

9 
Fan cohomology and its application to equivariant Ktheory of toric varietiesAu, Suanne. January 2009 (has links)
Thesis (Ph.D.)University of NebraskaLincoln, 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 varietiesHuang, Muwan. January 2009 (has links)
Thesis (Ph.D.)University of NebraskaLincoln, 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.

Page generated in 0.0382 seconds