dc.contributor.author |
Archey, Dawn Elizabeth, 1979- |
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dc.date.accessioned |
2008-12-20T02:10:58Z |
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dc.date.available |
2008-12-20T02:10:58Z |
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dc.date.issued |
2008-06 |
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dc.identifier.uri |
http://hdl.handle.net/1794/8155 |
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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. |
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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. |
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dc.description.sponsorship |
Adviser: Phillips, N. Christopher |
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dc.language.iso |
en_US |
en |
dc.publisher |
University of Oregon |
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dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph.D., 2008; |
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dc.subject |
Mathematics |
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dc.subject |
Cuntz subequivalence |
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dc.subject |
Stable rank one |
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dc.subject |
Tracial Rokhlin property |
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dc.subject |
Finite group actions |
en |
dc.subject |
Crossed product |
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dc.subject |
C*-algebras |
en |
dc.title |
Crossed product C*-algebras by finite group actions with a generalized tracial Rokhlin property |
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dc.type |
Thesis |
en |