Inductive limits of operator systems
The aim of this thesis is to study inductive limits of operator systems. We begin by formalising the notion of the inductive limit for several categories related to, and including, the category of operator systems. Subsequently we observe how this structure interacts with other important operator sy...
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Queen's University Belfast
2016
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ndltd-bl.uk-oai-ethos.bl.uk-7075362017-07-25T03:44:07ZInductive limits of operator systemsMawhinney, Linda2016The aim of this thesis is to study inductive limits of operator systems. We begin by formalising the notion of the inductive limit for several categories related to, and including, the category of operator systems. Subsequently we observe how this structure interacts with other important operator system structures including tensor products, quotients and C*-extensions. Finally we have applied these results to inductive limits of graph operator systems. This has enabled the construction of an infinite graph operator system. Using this approach we have extended known results about graph operator systems to infinite graph operator systems.005.4Queen's University Belfasthttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.707536Electronic Thesis or Dissertation |
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005.4 |
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005.4 Mawhinney, Linda Inductive limits of operator systems |
| description |
The aim of this thesis is to study inductive limits of operator systems. We begin by formalising the notion of the inductive limit for several categories related to, and including, the category of operator systems. Subsequently we observe how this structure interacts with other important operator system structures including tensor products, quotients and C*-extensions. Finally we have applied these results to inductive limits of graph operator systems. This has enabled the construction of an infinite graph operator system. Using this approach we have extended known results about graph operator systems to infinite graph operator systems. |
| author |
Mawhinney, Linda |
| author_facet |
Mawhinney, Linda |
| author_sort |
Mawhinney, Linda |
| title |
Inductive limits of operator systems |
| title_short |
Inductive limits of operator systems |
| title_full |
Inductive limits of operator systems |
| title_fullStr |
Inductive limits of operator systems |
| title_full_unstemmed |
Inductive limits of operator systems |
| title_sort |
inductive limits of operator systems |
| publisher |
Queen's University Belfast |
| publishDate |
2016 |
| url |
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.707536 |
| work_keys_str_mv |
AT mawhinneylinda inductivelimitsofoperatorsystems |
| _version_ |
1718506582250094592 |