Details of Grant 

EPSRC Reference:	GR/M47997/01
Title:	OPERATOR ALGEBRAS AND APPLICATIONS
Principal Investigator:	Evans, Professor DE
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Sch of Mathematics
Organisation:	Cardiff University
Scheme:	Standard Research (Pre-FEC)
Starts:	04 October 1998	Ends:	03 April 2001	Value (£):	89,184
EPSRC Research Topic Classifications:	Mathematical Analysis
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
Amenable operator algebras are analytic objects - self adjoint algebras of operators on hilbert spaces for which the unitary groups are amenable. The possibility of classifying (simple) amenable C*-algebras by K-theoretic invariants is striking and one of the most important aspects of current research in operator algebras together with subfactor 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 invariants which would yield new insight into their structure (such as automorphsism 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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Organisation Website:	http://www.cf.ac.uk