AT-algebras from zero-dimensional dynamical systems
| dc.contributor.advisor | Phillips, N. Christopher | |
| dc.contributor.author | Herstedt, Paul | |
| dc.date.accessioned | 2020-09-24T17:22:58Z | |
| dc.date.available | 2020-09-24T17:22:58Z | |
| dc.date.issued | 2020-09-24 | |
| dc.description.abstract | We outline a particular type of zero-dimensional system (which we call "fiberwise essentially minimal"), which, together with the condition of all points being aperiodic, guarantee that the associated crossed product C*-algebra is an AT-algebra. Since AT-algebras of real rank zero are classifiable by K-theory, this is a large step towards a classification theorem for fiberwise essentially minimal zero-dimensional systems. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/25685 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | C*-algebras | en_US |
| dc.subject | Classification | en_US |
| dc.subject | Crossed products | en_US |
| dc.subject | Dynamical systems | en_US |
| dc.subject | Operator algebras | en_US |
| dc.title | AT-algebras from zero-dimensional dynamical systems | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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