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Content archived on 2022-12-23

Noncommutative Geometry and Operator K-Theory

Objective



The primary aim of the project is to work out the theory of asymptotic representations and almost representations for discrete groups as well as Lie groups. The emphasis will be on the applications to the problem of describing the homotopy invariants appearing in the theory of smooth manifolds, the index theory of elliptic operators, and topological K-theory. Several problems in mathematical physics related to applications of symmetry theory are connected with this, and will also be treated.
Another - closely related - aim of the project is to develop a theory based on a synthesis of analytical methods for discrete groups and group algebra theory, of methods from the index theory theory of elliptic operators over C*-algebras, of the theory of Hilbert modules, and of noncommutative geometry, all directed towards the construction of new homotopic, topological and geometric invariants of manifolds that are not necessarily simply connected. Results obtained while implementing the project will be published in a series of articles in scientific journals.

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Programme(s)

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Topic(s)

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Call for proposal

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Funding Scheme

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Coordinator

University of Copenhagen
EU contribution
No data
Address
Universitetsparken 5
2100 Copenhagen
Denmark

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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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Participants (7)