Browsing by Subject "K-theory"
Now showing items 1-5 of 5
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Assembly Maps and Pseudoisotopy Functors
Pieper, Malte Mario (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 ... -
Cycleclasses for algebraic De Rham cohomology and crystalline cohomology
Ring, Nicholas (2002)For schemes which are smooth over a regular base scheme we establish the existence of cycle class maps with values in the corresponding algebraic De Rham cohomology. These maps have all the properties one expects, i.e. ... -
The Farrell-Jones conjecture for some general linear groups
Rüping, Henrik (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
Land, Markus (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
Wimmer, Christian (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. ...