CORDIS
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K-theory, non-commutative geometry, homology theories, homotopy theory, operator and normed algebras

Objective

The project is centered around simplicial algebra and topology, (co)homology theories, algebraic K-theory and cobordism, operator and normed algebras. It is intended to make progress on the Karoubi conjecture, to develop further the interrelation between algebraic K-theory, bivariant K-theory and equivariant homology of groups and extension of these methods to the case of quantum groups. One of the main tools will be investigation of locally convex algebras by homotopical and homological methods, construction and development of the non-abelian cohomology of crossed structures, construction and study the n-fold Cech cohomology of open covers and the n-fold Cech derived functors of group valued functors. The second aspect of the program is to produce new information on the multiplicative structure of the simplectic cobordism ring, to give presentations of Morava K-theory and Brown-Peterson cohomology of p-groups in terms of transferred Chern classes. The third aspect of the program is to produce new information on the spectral characterictics of weighted type composition operators on closed subspaces of uniform algebras and structue of their eigensubspaces, on new topological radicals of normed algebras and on algebras of functions.

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Coordinator

UNIVERSITY OF COPENHAGEN

Address

Universitetsparken, 5
Copenhagen

Denmark

Administrative Contact

Ryszard NEST

Participants (5)

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A. RAZMADZE MATHEMATICAL INSTITUTE

Georgia

INSTITUTE OF MATHEMATICS AND MECHANICS OF AZNAS

Azerbaijan

UNIVERSIDAD DE VALLADOLID

Spain

UNIVERSITÉ DE PARIS XIII

France

WESTFAELISCHE WILHELMS-UNIVERSITÄT MÜNSTER

Germany

Project information

Grant agreement ID: INTAS 2006-1000017-8609

  • Start date

    1 February 2007

  • End date

    31 January 2009

Funded under:

IC-INTAS

  • Overall budget:

    € 114 000

  • EU contribution

    € 114 000

Coordinated by:

UNIVERSITY OF COPENHAGEN

Denmark