Inverse Limits of Noncommutative Covering Projections
| Autor: | Ivankov, Petr R. |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.13140/RG.2.1.4928.0482 |
| Popis: | The Gelfand - Na\u{i}mark theorem supplies the one to one correspondence between commutative $C^*$-algebras and locally compact Hausdorff spaces. So any noncommutative $C^*$-algebra can be regarded as a generalization of a topological space. Generalizations of several topological invariants can be defined by algebraical methods. This article contains a pure algebraical construction of inverse limits in the category of (noncommutative) covering projections. It is proven that Moyal planes are inverse limits of covering projections of noncommutative tori. Comment: 50 pages, 24 references |
| Databáze: | arXiv |
| Externí odkaz: |
|