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Title: Pure functionals and irreducible representations of C*-algebras
Author: Shah, Masood Hussain
ISNI:       0000 0001 3395 7130
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 1998
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Basic properties of pure functionals of a C*-algebra are reviewed, and this is followed by an investigation of equivalent representations of a pure functional, restriction to ideals, and extension to bigger C*-algebras. The relationship between notions of regularity for points in the spectrum of a C*-algebra is studied. A localised version of Fell-Dixmier conditions for continuous trace of a C*-algebra is obtained. The weak*-closure of the space of pure functionals of arbitrary and homogeneous C*-algebras is investigated. An analogue of Glimm's Vector State Space Theorem is proved. It is shown that G(A) = A*1 if and only if A is prime and antiliminal. Some results about the limits of pure functionals of an arbitrary C*-algebra are obtained.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: C*-algebras