dc.contributor.author |
Abdelrahman, Nariman Hassab Alrasool |
|
dc.contributor.author |
Supervisor, Shawgy Hussein AbdAlla |
|
dc.date.accessioned |
2016-01-27T07:53:10Z |
|
dc.date.available |
2016-01-27T07:53:10Z |
|
dc.date.issued |
2014-12-30 |
|
dc.identifier.citation |
Abdelrahman,Nariman Hassab Alrasool . Classificatios of C^*-Algebras and Ultra products of Von Neumann Algebras /Nariman Hassab Alrasool Abdelrahman ;Shawgy Hussein AbdAlla .- khartoum :Sudan University of Science and Technology, College of Science , 2014 .- 183p ; 28cm .- M.Sc. |
en_US |
dc.identifier.uri |
http://repository.sustech.edu/handle/123456789/12599 |
|
dc.description |
theis |
en_US |
dc.description.abstract |
We prove that a graph C^*-algebra with exactly one proper nontrivial ideal is classified up to stable isomorphism by its associated six-term exact sequence in K-theory. We prove that a similar classification also holds for a graph C^*-algebra with a largest proper ideal that is an AF-algebra. Our results are based on a general method developed by the Restorff and Ruiz. As a key step in the argument, we show to produce stability for certain full hereditary sub algebras associated to such graph C^*-algebras. We further prove that, except under Circumstance, an unique proper nontrivial idea in a graph C^*-algebra is stable. |
en_US |
dc.description.sponsorship |
Sudan University of Science and Technology |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Sudan University of Science and Technology |
en_US |
dc.subject |
Classificatios of C^*-Algebras |
en_US |
dc.subject |
Neumann Algebras |
en_US |
dc.subject |
Ultra products of Von Neumann Algebras |
en_US |
dc.title |
Classificatios of C*- Algebras and Ultra products of Von Neumann Algebras |
en_US |
dc.title.alternative |
والرضرب الفوقي لجبريات نيومان –C^* تصنيفات جبريات |
en_US |
dc.type |
Thesis |
en_US |