K-theory and the enriched Tits building.
K-theory from the point of view of C*-algebras and Fredholm representations
These notes represent the subject of five lectures which were delivered as a minicourse during the VI conference in Krynica, Poland, “Geometry and Topology of Manifolds”, May, 2–8, 2004.
K-theory of mapping class groups: general p-adic K-theory for punctured spheres.
La K-théorie stable
Lefschetz-Riemann-Roch theorem and coherent trace formula.
Lokalisierung äquivarianter Kohomologie-Theorien.
L-theory and dihedral homology.
Mappings Into Loop Spaces and Central Group Extensions.
Maps Between Classifying Spaces. II.
Maps Between Real Classifying Spaces.
Modules de SU-bordisme. Applications
Non-connective Delooping of K-Theory of an A... Ring Space.
On Bott-periodic algebraic K-theory.
Let K*(A;Z/ln) denote the mod-ln algebraic K-theory of a Z[1/l]-algebra A. Snaith ([14], [15], [16]) has studied Bott-periodic algebraic theory Ki(A;Z/ln)[1/βn], a localized version of K*(A;Z/ln) obtained by inverting a Bott element βn. For l an odd prime, Snaith has given a description of K*(A;Z/ln)[1/βn] using Adams maps between Moore spectra. These constructions are interesting, in particular for their connections with Lichtenbaum-Quillen conjecture [16].In this paper we obtain a description...
On p-adic ?-rings and the K-theory of H-spaces.
On the Bézout equation in the ring of periodic distributions
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.
On the Burnside ring and stable cohomotopy of a finite group.
On the Groups JOGX. I.
On the homology of the Harmonic Archipelago
We calculate the singular homology and Čech cohomology groups of the Harmonic Archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths space. This is interesting in view of Eda’s proof that the first singular homology groups of these spaces are isomorphic.
On the level of projective spaces.
On the motivic spectra representing algebraic cobordism and algebraic -theory.