Academic Journal
Cohomologous 2-cocycles are Homotopic 2-cocycles: k-graphs and C*-algebras
| العنوان: | Cohomologous 2-cocycles are Homotopic 2-cocycles: k-graphs and C*-algebras |
|---|---|
| المؤلفون: | Orejola, Oliver A |
| المصدر: | Undergraduate Honors Theses |
| بيانات النشر: | CU Scholar |
| سنة النشر: | 2016 |
| المجموعة: | University of Colorado, Boulder: CU Scholar |
| مصطلحات موضوعية: | k-graphs, C*-algebras, functional analysis, graphs, Algebra, Analysis, Other Mathematics |
| الوصف: | k-graphs equipped with a defined 2-cocycle allow one to construct examples of C∗-algebras. For some k-graph, Λ, there does not necessarily exist a unique choice of 2-cocycle, such that for Λ there may exist multiple C∗-algebras depending on one’s choice of 2-cocycle. There exist relations between two defined 2-cocycles on a k-graph, cohomology and homotopy, that imply features of the C∗-algebras generated by the 2-cocycles and Λ. Cohomology implies that the two C∗-algebras are isomorphic, and homotopy implies the two share the same invariant, K-theory. It is shown here the result that any two 2-cocycles defined on a k-graph which are cohomologous are then homotopic. Also included is the method by which one may construct a matrix equation,Ψx = z, that encodes the information of a k-graph and 2-cocycle, where the existence of an integer solution to the equation Ψx = z implies any two 2-cocycles are homotopic. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | unknown |
| Relation: | https://scholar.colorado.edu/honr_theses/1076; https://scholar.colorado.edu/cgi/viewcontent.cgi?article=2376&context=honr_theses |
| الاتاحة: | https://scholar.colorado.edu/honr_theses/1076 https://scholar.colorado.edu/cgi/viewcontent.cgi?article=2376&context=honr_theses |
| رقم الانضمام: | edsbas.95BA0 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |