EPSRC Reference: |
GR/K51693/01 |
Title: |
OPERATOR ALGEBRAS AND APPLICATIONS |
Principal Investigator: |
Evans, Professor DE |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Unknown |
Organisation: |
Swansea University |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
01 October 1996 |
Ends: |
04 October 1998 |
Value (£): |
15,253
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EPSRC Research Topic Classifications: |
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EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
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Related Grants: |
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Panel History: |
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Summary on Grant Application Form |
Amenable operator algebras are analytic objects-self adjoint algebras of operators on hilbert spaces for which unitary groups are amenable. The possibility of classifying (simple) amenable C*-algebras by K-theoretic invarients is striking and one of the most important aspects of current research in operator algebras tighter with subfacter theory initiated by Jones and non-commutative free random variables initiated by Voiculescu. The broad aim of this project is the classification of amenable C*-algebras in terms of invariance which would yield new insight into their structure (such as their automorphism groups) but also give a better understanding of technical aspects and tools such as the Rohklin property, homotoping unitaries, singular foliations or orbifolds which have a wider interest in operator algebras and related fields - as already shown in recent exchange of ideas from subfactor theory.
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
Description |
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Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
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Project URL: |
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Further Information: |
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Organisation Website: |
http://www.swan.ac.uk |