Mathematical Sciences: Structure of Operator Algebras
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
This is a project for mathematical research in the theory of               operator algebras, with collateral impact in several other areas                of mathematics.  Algebras of operators on Hilbert space have long               been used to represent a diversity of mathematical structures,                  including some that arise in theoretical physics.  The principal                investigator will pursue consequences of an extremely fruitful                  idea of his about how to measure the size of an operator algebra                relative to a larger algebra that contains it.                                       He will investigate and exploit connections between                        subfactors of factors, conformal field theory, knot theory,                     statistical mechanics, completely integrable systems, and quantum               groups.  In particular an attempt will be made to give an                       explicit three-dimensional definition of certain knot invariants                hitherto only defined via braids or two-dimensional projections.
{'FirstName': 'Vaughan', 'LastName': 'Jones', 'PI_MID_INIT': 'F', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Vaughan F Jones', 'EmailAddress': 'vaughan.f.jones@vanderbilt.edu', 'NSF_ID': '000470796', 'StartDate': '05/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Berkeley', 'CityName': 'BERKELEY', 'ZipCode': '947101749', 'PhoneNumber': '5106433891', 'StreetAddress': '1608 4TH ST STE 201', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'CA12', 'ORG_UEI_NUM': 'GS3YEVSS12N6', 'ORG_LGL_BUS_NAME': 'REGENTS OF THE UNIVERSITY OF CALIFORNIA, THE', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8806816.xml'}