NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	THE UNIVERSITY OF IOWA
Initial Amendment Date:	August 26, 1991
Latest Amendment Date:	April 9, 1993
Award Number:	9102488
Award Instrument:	Continuing Grant
Program Manager:	Joe W. Jenkins DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	July 1, 1991
End Date:	June 30, 1995 (Estimated)
Total Intended Award Amount:	$474,640.00
Total Awarded Amount to Date:	$474,640.00
Funds Obligated to Date:	FY 1991 = $143,000.00 FY 1992 = $162,890.00 FY 1993 = $168,750.00
History of Investigator:	Paul Muhly (Principal Investigator) pmuhly@math.uiowa.edu Palle Jorgensen (Co-Principal Investigator) Frederick Goodman (Co-Principal Investigator) Raul Curto (Co-Principal Investigator)
Recipient Sponsored Research Office:	University of Iowa 105 JESSUP HALL IOWA CITY IA  US  52242-1316 (319)335-2123
Sponsor Congressional District:	01
Primary Place of Performance:	DATA NOT AVAILABLE
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	Z1H9VJS8NG16
Parent UEI:
NSF Program(s):	MODERN ANALYSIS
Primary Program Source:	app-0193
Program Reference Code(s):
Program Element Code(s):	126200
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

This award will support the research projects of a group of mathematicians whose work centers around operator theory and operator algebras. Some of the areas of investigation will be (i) multiplication operators on functional Hilbert spaces, (ii) polynomial hyponormality using multivariable techniques, (iii) construction of irreducible subfactors with index greater than four, (iv) invariant theory, Schur-Weyl duality, and tensor product structure of quantum groups at roots of unity, (v) dilation theory for algebras of operators and covariant systems, (vi) one-parameter deformations of generalized commutation relations, (vii) operator algebras generated by Toeplitz and singular integral operators with random symbol, and (viii) coordinatization techniques to analyze non-self-adjoint operator algebras. A central aspect of this research project is an investigation of Hilbert space operators. These objects can be thought of as infinite matrices of complex numbers but they often arise in a way more suited to various applications. In the research projects of these investigators a single operator is usually not the subject of study but rather large classes of operators called algebras. The structure of such algebras is one of the most intensively studied areas of mathematics.

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