Mathematical Sciences: Operator Algebras and Noncommutative Topology
{'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 project is mathematical research in the theory of                     operator algebras.  The starting point for the relationship of                  this subject to topology is the circumstance that the commutative               C*-algebras are precisely those that arise as the algebra of                    continuous complex-valued functions on a locally compact                        topological space. (The latter algebra contains enough                          information to recover completely the underlying space.)                        The general program is to extend ideas and constructions from the               commutative setting of topology to the noncommutative realm of                  operator algebras.                                                                   Specific topics to be investigated are: existence and                      properties of homology and cohomology theories on the category of               C*-algebras; ring structure in K-theory; operator fields over                   singular spaces; and nonstable K-theory, especially for simple                  C*-algebras.
[{'FirstName': 'Bruce', 'LastName': 'Blackadar', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Bruce E Blackadar', 'EmailAddress': 'bruceb@math.unr.edu', 'NSF_ID': '000206204', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Alexander', 'LastName': 'Kumjian', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Alexander Kumjian', 'EmailAddress': 'alex@unr.edu', 'NSF_ID': '000457632', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'Board of Regents, NSHE, obo University of Nevada, Reno', 'CityName': 'RENO', 'ZipCode': '895570001', 'PhoneNumber': '7757844040', 'StreetAddress': '1664 N VIRGINIA ST # 285', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Nevada', 'StateCode': 'NV', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'NV02', 'ORG_UEI_NUM': 'WLDGTNCFFJZ3', 'ORG_LGL_BUS_NAME': 'BOARD OF REGENTS OF THE NEVADA SYSTEM OF HIGHER ED', 'ORG_PRNT_UEI_NUM': 'WLDGTNCFFJZ3'}
{'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': '8805342.xml'}