Dokumente Fakultät für Mathematik und Informatik (inkl. GAUSS) nach Gutachter "Meyer, Ralf Prof. Dr."
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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 ... -
On C*-algebras associated to product systems
(2018-05-17)We consider a class of Fell bundles over quasi-lattice ordered groups. We show that these are completely determined by the positive fibres and that their cross sectional C*-algebras are relative Cuntz–Pimsner algebras ... -
Secondary large-scale index theory and positive scalar curvature
(2016-09-06)We develop a theory of secondary invariants associated to complete Riemannian metrics of uniformly positive scalar curvature outside a prescribed subset on a spin manifold. We work in the context of large-scale (or "coarse") ... -
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 ... -
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 ... -
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 ... -
The Spectra on Lie Groups and Its Application to twisted L2-Invariants
(2024-02-29)We computed spectra of various $G$-invariant differential operators on the universal cover of 2x2 unimodular groups. This was achieved by applying tools from harmonic analysis/representation theory to corresponding groups. ... -
Twisted equivariant K-theory and equivariant T-duality
(2023-09-18)This thesis is about two things: twisted equivariant K-theory and equivariant topological T-duality. First, we prove a fixed point decomposition theorem for twisted equivariant K-theory, generalising a result of Atiyah and ... -
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 ... -
Über J. Bernsteins zweite Adjungiertheit für reduktive p-adische Gruppen
(2022-10-25)We give a new and essentially elementary proof of an important result due to Joseph Bernstein in the theory of smooth representations of a reductive p-adic group G. Main tools for studying these representations are parabolic ...