Professor Robert Archbold

Professor Robert Archbold The University of Aberdeen School of Natural & Computing Sciences Chair in Mathematical Sciences work +44 (0)1224 272756 work fax +44 (0)1224 272607 pref r.archbold@abdn.ac.uk pref Fraser Noble Building: Room 140 in the Institute of Mathematics (first floor).

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Web Links

•  University of Aberdeen, Mathematical Sciences

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Research Interests

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

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Publications

Contributions to Journals

Articles

• Archbold, RJ. & Kaniuth, E. (2012). 'On the real rank of C*-algebras of nilpotent locally compact groups'. Mathematica Scandinavica, vol 110, pp. 99-110.
• Archbold, RJ. & Somerset, DWB. (2012). 'Ideals in the multiplier and corona algebras of a C_0(X)-algebra'. Journal of the London Mathematical Society, vol 85, pp. 365-381.
  [Online] DOI: 10.1112/jlms/jdr053
• Archbold, RJ., Kaniuth, E. & Somerset, DWB. (2012). 'Norms of inner derivations for multiplier algebras of C*-algebras and group C*-algebras'. Journal of Functional Analysis, vol 262, no. 5, pp. 2050-2073.
  [Online] DOI: 10.1016/j.jfa.2011.12.015
• Archbold, RJ. & an Huef, A. (in press). 'Strength of convergence in non-free transformation groups'. Journal of Functional Analysis.
• Archbold, RJ. & Somerset, DWB. (2011). 'Multiplier algebras of C_0(X)-algebras'. Muenster Journal of Mathematics, vol 4, pp. 73-100.
• Archbold, RJ., Somerset, DWB. & Timoney, RM. (2009). 'Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C*-algebra'. Transactions of the American Mathematical Society, vol 361, no. 3, pp. 1397-1427.
  [Online] DOI: S 0002-9947(08)04666-7
• Archbold, RJ. & an Huef, A. (2008). 'Strength of convergence and multiplicities in the spectrum of a C*-dynamical system'. Proceedings of the London Mathematical Society, vol 96, pp. 545-581.
  [Online] DOI: 10.1112/plms/pdm038
• Archbold, RJ., Somerset, DWB. & Timoney, RM. (2008). 'Factorial states, upper multiplicity and norms of elementary operators'. Journal of the London Mathematical Society, vol 78, pp. 707-722.
  [Online] DOI: 10.1112/jlms/jdn051
• Archbold, RJ. & Somerset, DWB. (2007). 'Measuring noncommutativity in C*-algebras'. Journal of Functional Analysis, vol 242, pp. 247-271.
  [Online] DOI: 10.1016/j.jfa.2006.06.012
• Archbold, RJ., Ludwig, J. & Schlichting, G. (2007). 'Limit sets and strengths of convergence for sequences in the duals of thread-like Lie goups'. Mathematische Zeitschrift, vol 255, no. 2, pp. 245-282.
  [Online] DOI: 10.1007/s00209-006-0023-1
• Archbold, RJ. & an Huef, A. (2006). 'Strength of convergence in the orbit space of a transformation group'. Journal of Functional Analysis, vol 235, pp. 90-121.
  [Online] DOI: 10.1016/j.jfa.2005.10.001
• Archbold, RJ. & Kaniuth, E. (2006). 'Stable rank and real rank of compact transformation group C*-algebras'. Studia Mathematica, vol 175, no. 2, pp. 103-120.
• Archbold, RJ. & Lazar, A. (2005). 'Simultaneous lifting from irreducible representations of C *-algebras'. Glasgow Mathematical Journal, vol 47, no. 1, pp. 195-204.
  [Online] DOI: 10.1017/S0017089504002162
• Archbold, RJ., Somerset, DWB. & Timoney, RM. (2005). 'On the central Haagerup tensor product and completely bounded mappings of a C *-algebra'. Journal of Functional Analysis, vol 226, no. 2, pp. 406-428.
  [Online] DOI: 10.1016/j.jfa.2005.03.006
• Archbold, RJ. & Kaniuth, E. (2005). 'Stable rank and real rank for some classes of group C *-algebras'. Transactions of the American Mathematical Society, vol 357, no. 6, pp. 2165-2186.
  [Online] DOI: 10.1090/S0002-9947-05-03835-3
• Archbold, RJ. & Kaniuth, E. (2005). 'On the stable rank and real rank of group C*-algebras of nilpotent locally compact groups'. Mathematica Scandinavica, vol 97, no. 1, pp. 89-103.
• Archbold, RJ. & Deicke, C. (2005). 'Bounded trace C *-algebras and integrable actions'. Mathematische Zeitschrift, vol 250, no. 2, pp. 393-410.
  [Online] DOI: 10.1007/s00209-004-0759-4
• Archbold, RJ. & Somerset, DWB. (2004). 'Inner Derivations and Primal Ideals of C*-Algebras, II'. Proceedings of the London Mathematical Society, vol 88, pp. 225-250.
  [Online] DOI: 10.1112/S002461150301431X
• Archbold, RJ. & Shah, MH. (2001). 'Limits of vector functionals'. Journal of Operator Theory, vol 45, pp. 39-51.
• Archbold, RJ. (2001). 'Extensions of pure states and projections of norm one II'. Bulletin of the London Mathematical Society, vol 33, pp. 67-72.
• Archbold, RJ., Kaniuth, E., Ludwig, J., Schlichting, G. & Somerset, DWB. (2001). 'Strength of convergence in Duals of C*-Algebras and Nilpotent Lie Groups'. Advances in Mathematics, vol 158, pp. 26-65.
  [Online] DOI: 10.1006/aima.2000.1960

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