Crossed product C*-algebras by finite group actions with a generalized tracial Rokhlin property
| dc.contributor.author | Archey, Dawn Elizabeth, 1979- | |
| dc.date.accessioned | 2008-12-20T02:10:58Z | |
| dc.date.available | 2008-12-20T02:10:58Z | |
| dc.date.issued | 2008-06 | |
| dc.description | viii, 107 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. | en |
| dc.description.abstract | This dissertation consists of two related parts. In the first portion we use the tracial Rokhlin property for actions of a finite group G on stably finite simple unital C *-algebras containing enough projections. The main results of this part of the dissertation are as follows. Let A be a stably finite simple unital C *-algebra and suppose a is an action of a finite group G with the tracial Rokhlin property. Suppose A has real rank zero, stable rank one, and suppose the order on projections over A is determined by traces. Then the crossed product algebra C * ( G, A, à à ±) also has these three properties. In the second portion of the dissertation we introduce an analogue of the tracial Rokhlin property for C *-algebras which may not have any nontrivial projections called the projection free tracial Rokhlin property . Using this we show that under certain conditions if A is an infinite dimensional simple unital C *-algebra with stable rank one and à à ± is an action of a finite group G with the projection free tracial Rokhlin property, then C * ( G, A, à à ±) also has stable rank one. | en |
| dc.description.sponsorship | Adviser: Phillips, N. Christopher | en |
| dc.identifier.uri | https://hdl.handle.net/1794/8155 | |
| dc.language.iso | en_US | en |
| dc.publisher | University of Oregon | en |
| dc.relation.ispartofseries | University of Oregon theses, Dept. of Mathematics, Ph.D., 2008; | |
| dc.subject | Mathematics | en |
| dc.subject | Cuntz subequivalence | en |
| dc.subject | Stable rank one | en |
| dc.subject | Tracial Rokhlin property | en |
| dc.subject | Finite group actions | en |
| dc.subject | Crossed product | en |
| dc.subject | C*-algebras | en |
| dc.title | Crossed product C*-algebras by finite group actions with a generalized tracial Rokhlin property | en |
| dc.type | Thesis | en |
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