Date of Award

Spring 1-1-2013

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Markus Pflaum

Second Advisor

Martin Walter

Third Advisor

Guillermo Cortinas

Fourth Advisor

Judith Packer

Fifth Advisor

Jonathan Wise

Abstract

Karoubi defined the relative K-theory of a Banch algebra which fit into a larger framework with various homology theories. The goal of this paper is to provide a definition for the relative groups Kreln(A;I) which extends relative K-theory and fits in with the already existing algebraic, topological, and relative K-theory groups.

Included in

Mathematics Commons

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