E-Dissertationen: Suche
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The Farrell-Jones conjecture for some general linear groups
(2013-07-10)
In this thesis I prove the K- and L-theoretic Farrell-Jones conjecture with coefficients in any additive category for the general linear groups of F(x) for a finite field F. I also show that the general linear groups over ...
On the relation between K- and L-theory of complex C*-Algebras
(2016-07-26)
We study the space of natural transformations from connective topological K-theory to algebraic L-theory viewed as functors from C*-algebras to spectra. We prove the existence of a transformation which witnesses the ...
Rational global homotopy theory and geometric fixed points
(2017-12-20)
We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. ...
Assembly Maps and Pseudoisotopy Functors
(2019-05-03)
In this thesis we show the existence of a stable, smooth pseudoisotopyfunctor and construct in the topological, piecewise linear, and smooth category a zig-zag of natural weak equivalences between the stable pseudoisotopyfunctor ...