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Now showing items 1-15 of 15

    • An Integration Theorem for Representations of the Tangent Algebroid 

      Busche, Geoffrey-Desmond (2024-02-09)
      This dissertation investigates representations of Lie groupoids and Lie algebroids and the connection between them. Lie groupoids and Lie algebroids are differential-geometric generalisations of Lie groups and Lie ...
    • Über J. Bernsteins zweite Adjungiertheit für reduktive p-adische Gruppen 

      Held, Jan Frederic (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 ...
    • Index theory and groupoids for filtered manifolds 

      Ewert, Eske Ellen (2020-12-21)
      In this thesis, we propose to use generalized fixed point algebras as an approach to the pseudodifferential calculus on filtered manifolds. A filtered manifold is a manifold \(M\) with a filtration of its tangent ...
    • Topological Invariants for Non-Archimedean Bornological Algebras 

      Mukherjee, Devarshi (2020-10-13)
      In this thesis, we define a cyclic homology theory for non-archimedean bornological algebras, which we call analytic cyclic homology. Let V be a complete, discrete valuation ring with uniformiser p, residue field k, and ...
    • Groupoids in categories with partial covers 

      Arabidze, Giorgi (2019-02-07)
      Meyer and Zhu survey the general theory of groupoids, groupoid actions, groupoid principal bundles, and various kinds of morphisms between groupoids in the framework of categories with pretopology. We modify the categorical ...
    • Exakte Moduln über dem von Manuel Köhler beschriebenen Ring 

      Grande, Vincent (2018-11-13)
      When proving an equivariant universal coefficient theorem for C*-Algebras acted on by a finite cyclic group Z/pZ, Manuel Köhler introduces the endomorphism ring R of the tuple (C,C(G),D). The aim of this thesis is to show ...
    • On C*-algebras associated to product systems 

      Fabre Sehnem, Camila (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 ...
    • Coarse Geometry for Noncommutative Spaces 

      Banerjee, Tathagata (2016-11-23)
      We develop an analogoue of coarse geometry for noncommutative spaces in terms of unitizations of the given C* -algebra. Examples for our theory come from Rieffel deformation of compactifications under strongly continuous ...
    • A colimit construction for groupoids 

      Albandik, Suliman (2016-08-03)
      We consider Ore monoid actions in a certain bicategory of étale groupoids Gr_prop. Examples of such actions include self-similar groups, higher rank graphs and actions of Ore monoids on spaces by topological correspondences. ...
    • A classification of localizing subcategories by relative homological algebra 

      Nadareishvili, George (2015-12-17)
      In this thesis, we use the tools of relative homological algebra in triangulated categories to define a sensible notion of support for objects in the bootstrap class of a Kasparov category of C*-algebras over a finite ...
    • Topological construction of C*-correspondences for groupoid C*-algebras 

      Holkar, Rohit Dilip (2015-09-09)
      Let G and H be locally compact, Hausdor groupoids with Haar systems. We de fine a topological correspondence from G to H to be a G-H bispace X carrying a G-quasi invariant and H-invariant family of measures. We show that ...
    • C*-quantum groups with projection 

      Roy, Sutanu (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 ...
    • Explicit GL(2) trac formulas and uniform, mixed Weyl laws 

      Palm, Marc (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 ...
    • Noncommutative manifolds and Seiberg-Witten-equations 

      Alekseev, Vadim (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 

      Köhler, Manuel (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 ...