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Topological K-theory and Invertibility

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thesis
posted on 28.11.2018, 00:00 by Tasos Moulinos
In this dissertation, a theory of topological K-theory of dg-categories relative to an arbitrary base scheme is developed. This is then used to study the topological K-theory of Azumaya algebras and relate it to the topological notion of twisted K-theory.

History

Advisor

Shipley, BrookeAntieau, Benjamin

Chair

Shipley, Brooke

Department

Mathematics, Statistics and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Gillet, Henri Gepner, David Heller, Jeremiah

Submitted date

August 2018

Issue date

01/05/2018

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