Research Interest

I am a mathematical analyst with research interests in functional analysis, operator algebras and topological groups.  I currently serve as Vice-President of the Edinburgh Mathematical Society, details of which can be found at http://www.ems.ac.uk

Web Links

•  University of Aberdeen, Mathematical Sciences

Publications

• Archbold,R. J.; Somerset,D. W. B.; Timoney,R. M.; Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C*-algebra. , Original Article in Peer Reviewed Journal, 2009, Transactions of the American Mathematical Society, 361, 3, pp1397-1427, ISSN/ISBN: 0002-9947
• Archbold,R. J.; Somerset,D. W. B.; Timoney,R. M.; Factorial states, upper multiplicity and norms of elementary operators , Original Article in Peer Reviewed Journal, 2008, Journal of the London Mathematical Society, 78, pp707-722, ISSN/ISBN: 0024-6107
• Archbold,R. J.; an Huef,A.; Strength of convergence and multiplicities in the spectrum of a C*-dynamical system. , Original Article in Peer Reviewed Journal, 2008, Proceedings of the London Mathematical Society, 96, pp545-581, ISSN/ISBN: 0024-6115
• Archbold,R. J.; Ludwig,J.; Schlichting,G.; Limit sets and strengths of convergence for sequences in the duals of thread-like Lie goups. , Original Article in Peer Reviewed Journal, 2007, Mathematische Zeitschrift, 255, pp245-282, ISSN/ISBN: 0025-5874
• Archbold,R. J.; Somerset,D. W. B.; Measuring noncommutativity in C*-algebras , Original Article in Peer Reviewed Journal, 2007, Journal of Functional Analysis, 242, pp247-271, ISSN/ISBN: 0022-1236
• Archbold,R. J.; Kaniuth,E.; Stable rank and real rank of compact transformation group C*-algebras , Original Article in Peer Reviewed Journal, 2006, Studia Mathematica, 175, 2, pp103-120, ISSN/ISBN: 0039-3223
• Archbold,R. J.; an Huef,A.; Strength of convergence in the orbit space of a transformation group , Original Article in Peer Reviewed Journal, 2006, Journal of Functional Analysis, 235, pp90-121, ISSN/ISBN: 0022-1236
• Archbold,R. J.; Deicke,K.; Bounded trace C*-algebras and integrable actions , Original Article in Peer Reviewed Journal, 2005, Mathematische Zeitschrift, 250, 2, pp393-410, ISSN/ISBN: 0025-5874
• Archbold,R. J.; Somerset,D. W. B.; Timoney,R. M.; On the central Haagerup tensor product and completely bounded mappings of a C*-algebra , Original Article in Peer Reviewed Journal, 2005, Journal of Functional Analysis, 226, 2, pp406-428, ISSN/ISBN: 0022-1236
• Archbold,R. J.; Kaniuth,E.; On the stable rank and real rank of group C*-algebras of nilpotent locally compact groups , Original Article in Peer Reviewed Journal, 2005, Mathematica Scandinavica, 97, 1, pp89-103, ISSN/ISBN: 0025-5521
• Archbold,R. J.; Lazar,A.; Simultaneous lifting from irreducible representations of C*-algebras , Original Article in Peer Reviewed Journal, 2005, Glasgow Mathematical Journal, 47, 1, pp195-204, ISSN/ISBN: 0017-0895
• Archbold,R. J.; Kaniuth,E.; Stable rank and real rank for some classes of group C*-algebras , Original Article in Peer Reviewed Journal, 2005, Transactions of the American Mathematical Society, 357, 6, pp2165-2186, ISSN/ISBN: 0002-9947
• Archbold,R. J.; Somerset,D. W. B.; Inner Derivations and Primal Ideals of C*-Algebras, II , Original Article in Peer Reviewed Journal, 2004, Proceedings of the London Mathematical Society, 88, pp225-250, ISSN/ISBN: 0024-6115
• Archbold,R. J.; Extensions of pure states and projections of norm one II , Original Article in Peer Reviewed Journal, 2001, Bulletin of the London Mathematical Society, 33, pp67-72, ISSN/ISBN: 0024-6093
• Archbold,R. J.; Shah,M. H.; Limits of vector functionals , Original Article in Peer Reviewed Journal, 2001, Journal of Operator Theory, 45, pp39-51, ISSN/ISBN: 0379-4024
• Archbold,R. J.; Kaniuth,E.; Ludwig,J.; Schlichting,G.; Somerset,D. W. B.; Strength of convergence in Duals of C*-Algebras and Nilpotent Lie Groups , Original Article in Peer Reviewed Journal, 2001, Advances in Mathematics, 158, pp26-65, ISSN/ISBN: 0001-8708