Mathematical Sciences: Operator Algebras
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': None, 'PO_EMAI': None, 'PO_PHON': None}
This project is mathematical research on algebras of                       operators on Hilbert space.  Interest in such algebras grew out                 of their role in certain formulations of quantum mechanics,                     operators in the given algebra corresponding more or less to                    observable quantities in the system being represented.  Unlike                  those customarily encountered in physical models, the algebras in               the present study are nonselfadjoint, and so fall into a less                   well-developed area of the theory.                                                   More specifically, the behavior of certain nonselfadjoint                  operator algebras under tensor products will be investigated in                 connection with an approximation property for such algebras.                    Questions concerning hyperreflexivity of operator algebras will                 be explored.  A newly discovered correspondence between finite-                 dimensional commutative subspace lattice algebras and finite                    simplicial complexes that takes Hochschild cohomology to                        simplicial cohomology will be further developed.
{'FirstName': 'Jon', 'LastName': 'Kraus', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jon Kraus', 'EmailAddress': None, 'NSF_ID': '000465213', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'SUNY at Buffalo', 'CityName': 'AMHERST', 'ZipCode': '142282577', 'PhoneNumber': '7166452634', 'StreetAddress': '520 LEE ENTRANCE STE 211', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '26', 'CONGRESS_DISTRICT_ORG': 'NY26', 'ORG_UEI_NUM': 'LMCJKRFW5R81', 'ORG_LGL_BUS_NAME': 'RESEARCH FOUNDATION FOR THE STATE UNIVERSITY OF NEW YORK, THE', 'ORG_PRNT_UEI_NUM': 'GMZUKXFDJMA9'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801736.xml'}