#### 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 Krel_{n}(A;I) which extends relative K-theory and fits in with the already existing algebraic, topological, and relative K-theory groups.

#### Recommended Citation

Martinez, Michael David, "The Relative K-theory of an Algebraic Pair" (2013). *Mathematics Graduate Theses & Dissertations*. 29.

http://scholar.colorado.edu/math_gradetds/29