Semigroup algebra in the Stone-Cech compactification of a discrete semigroup
Algebra in the Cech-Stone compactification and its applications to topological dyn...
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Semigroup algebra in the Stone-Cech compactification of discrete semigroups
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| Author(s): |
Matheus Koveroff Bellini
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2017-12-11 |
| Examining board members: |
Artur Hideyuki Tomita;
Leandro Fiorini Aurichi;
Vladimir Pestov
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| Advisor: | Artur Hideyuki Tomita |
| Abstract | |
Given a semigroup S and its discrete topology, it is possible to extend its operation to its Stone-Cech compactification beta(S) so that it is right-continuous. Several algebraic properties such as cancellativity, commutativity annd being a group influence topological-algebraic properties of beta(S). Most especially, the set of natural numbers with addition and/or multiplication is explored: results such as the existence of 2^c minimal left ideals or of decreasing chains of idempotents are shown and their consequences analysed. (AU) | |
| FAPESP's process: | 15/19857-4 - Semigroup algebra in the Stone-Cech compactification of a discrete semigroup |
| Grantee: | Matheus Koveroff Bellini |
| Support Opportunities: | Scholarships in Brazil - Master |