Professor Robert Archbold

MA, MMath (Cantab) PhD (Newcastle)

Emeritus Professor

About

Email Address: r.archbold@abdn.ac.uk
Office Address: Fraser Noble Building: Room 140 in the Institute of Mathematics (first floor).
School/Department: School of Natural and Computing Sciences

External Memberships

Research

Research Overview

I am a mathematical analyst with research interests in functional analysis, operator algebras and topological groups.

Publications

Page 2 of 4 Results 11 to 20 of 38

Separation properties in the primitive ideal space of a multiplier algebra
2014 - Published
Archbold, R. J., Somerset, D. W. B.
Israel Journal of Mathematics, vol. 200, no. 1, pp. 389-418
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1007/s11856-014-0022-6
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4577/1/ArchboldSomerset_SeparationProperties_Revised.pdf
Spectral synthesis in the multiplier algebra of a C_0(X)-algebra
2014 - Published
Archbold, R. J., Somerset, D. W. B.
Quarterly Journal of Mathematics, vol. 65, no. 1, pp. 1-24
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1093/qmath/has048
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/3136/1/ArchSom_QJM5680_accepted.pdf
Strength of convergence in non-free transformation groups
2012 - Published
Archbold, R. J., an Huef, A.
Journal of Functional Analysis, vol. 263, no. 4, pp. 819-845
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1016/j.jfa.2012.05.005
Ideals in the multiplier and corona algebras of a C_o(X)-algebra
2012 - Published
Archbold, R. J., Somerset, D. W. B.
Journal of the London Mathematical Society, vol. 85, no. 2, pp. 365-381
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1112/jlms/jdr053
Norms of inner derivations for multiplier algebras of C*-algebras and group C*-algebras
2012 - Published
Archbold, R. J., Kaniuth, E., Somerset, D. W. B.
Journal of Functional Analysis, vol. 262, no. 5, pp. 2050-2073
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1016/j.jfa.2011.12.015
On the real rank of C*-algebras of nilpotent locally compact groups
2012 - Published
Archbold, R. J., Kaniuth, E.
Mathematica Scandinavica, vol. 110, no. 1, pp. 99-110
Contributions to Journals: Articles
- [ONLINE] http://www.mscand.dk/article/view/15199
- [ONLINE] DOI: https://doi.org/10.7146/math.scand.a-15199
Multiplier algebras of C_0(X)-algebras
2011 - Published
Archbold, R. J., Somerset, D. W. B.
Muenster Journal of Mathematics, vol. 4, pp. 73-100
Contributions to Journals: Articles
- [ONLINE] http://wwwmath.uni-muenster.de/mjm/acc.html
Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C^*-algebra
2009 - Published
Archbold, R. J., Somerset, D. W. B., Timoney, R. M.
Transactions of the American Mathematical Society, vol. 361, no. 3, pp. 1397-1427
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1090/S0002-9947-08-04666-7
Factorial states, upper multiplicity and norms of elementary operators
2008 - Published
Archbold, R. J., Somerset, D. W. B., Timoney, R. M.
Journal of the London Mathematical Society, vol. 78, no. 3, pp. 707-722
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1112/jlms/jdn051
Strength of convergence and multiplicities in the spectrum of a C*-dynamical system
2008 - Published
Archbold, R. J., an Huef, A.
Proceedings of the London Mathematical Society, vol. 96, no. 3, pp. 545-581
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1112/plms/pdm038

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External Memberships

Research Overview

Separation properties in the primitive ideal space of a multiplier algebra

Spectral synthesis in the multiplier algebra of a C_0(X)-algebra

Strength of convergence in non-free transformation groups

Ideals in the multiplier and corona algebras of a C_o(X)-algebra

Norms of inner derivations for multiplier algebras of C-algebras and group C-algebras

On the real rank of C*-algebras of nilpotent locally compact groups

Multiplier algebras of C_0(X)-algebras

Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C^*-algebra

Factorial states, upper multiplicity and norms of elementary operators

Strength of convergence and multiplicities in the spectrum of a C*-dynamical system

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