Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Meyer, Ralf Prof. Dr."
Now showing items 21-31 of 31
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C*-quantum groups with projection
(2014-06-25)We propose a general theory to study semidirect products of C -quantum groups in the framework of multiplicative unitaries. Starting from a quantum group with a projection we decompose its multiplicative unitary as a product ... -
Algebraic Structure and Integration in Generalized Differential Cohomology
(2014-01-22)The present thesis deals with the construction of algebraic structure, particularly products, on generalized differential cohomology from an abstract homotopy-theoretic point of view. Beginning with a multiplicative ... -
L2-invariants of nonuniform lattices in semisimple Lie groups
(2013-05-03)We compute L²-invariants of certain nonuniform lattices in semisimple Lie groups by means of the Borel-Serre compactification of arithmetically defined locally symmetric spaces. The main results give new estimates for ... -
Explicit GL(2) trac formulas and uniform, mixed Weyl laws
(2012-10-24)This thesis provides an explicit, general trace formula for the Hecke and Casimir eigenvalues of GL(2)-automorphic representations over a global field. In special cases, we obtain Selberg's original trace formula. Computations ... -
Higher Lefschetz invariants for foliated manifolds
(2012-05-22)Let $(M, F)$ be a compact foliated manifold. Suppose that a compact Lie group $Γ$ acts on $(M, F)$ by diffeomorphisms of Mthat map each leaf onto itself. We call such a structure a foliated $Γ$ -manifold and denote it ... -
Oktaven und Reduktionstheorie
(2012-02-02)The thesis studies the split octonion algebra and its automorphism group. This group is a Lie group of Type G2. One object of the thesis is to look at methods introduced by Behrend, Harder ... -
The Index Bundle for Gap-Continuous Families, Morse-Type Index Theorems and Bifurcation
(2011-11-21)We generalise the well known index bundle construction of Atiyah and Jänich to families of (generally unbounded) Fredholm operators which are assumed to be continuous with respect to the ... -
Symmetric Squaring in Homology and Bordism
(2011-11-10)Looking at the cartesian product X × X of a topological space X with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that ... -
Noncommutative manifolds and Seiberg-Witten-equations
(2011-10-17)In this thesis we study differential geometry of noncommutative manifolds. We introduce a general framework of noncommutative manifolds based on Poincaré duality and study the notions of differential forms and Sobolev ... -
Universal Coefficient Theorems in Equivariant KK-theory
(2011-02-21)We prove a universal coefficient theorem for C*-algebras acted upon by a group of prime power order. In this context, we define an extension of equivariant K-theory and prove the existence ... -
Some Aspects on Coarse Homotopy Theory
(2010-01-08)The most important examples of coarse spaces arise from proper metrics on spaces or from metrisable compactifications. In both cases, the bounded subsets are precisely the relatively compact ones. On the other hand, one ...