K-theory for C*-Algebras and for Topological Spaces
| dc.contributor.author | Xiao, Rui Philip | |
| dc.date.accessioned | 2015-04-27T18:43:23Z | |
| dc.date.available | 2015-04-27T18:43:23Z | |
| dc.date.issued | 2015-04-27 | |
| dc.date.submitted | 2015 | |
| dc.description.abstract | K-theory is the study of a collection of abelian groups that are invariant to C*-algebras or to locally compact Hausdorff spaces. These groups are useful for distinguishing C*-algebras and topological spaces, and they are used in classification programs. In the thesis we will focus attention on the abelian groups $K_0(A)$ and $K^0(X)$ for a C*-algebra $A$ and for a locally compact Hausdorff space $X$. The group $K_0(C(X))$ is naturally isomorphic to $K^0(X)$ whenever $X$ is a locally compact Hausdorff space. The maps $K_0$ and $K^0$ are covariant and contravariant functors respectively, they satisfy some functorial properties that are useful for computation. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/9272 | |
| dc.language.iso | en | en |
| dc.pending | false | |
| dc.publisher | University of Waterloo | en |
| dc.subject | K-theory | en |
| dc.subject | C*-algebra | en |
| dc.subject | vector bundle | en |
| dc.subject.program | Pure Mathematics | en |
| dc.title | K-theory for C*-Algebras and for Topological Spaces | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Pure Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |