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
- Research
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Research Overview
I am a mathematical analyst with research interests in functional analysis, operator algebras and topological groups.
- Publications
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Page 1 of 1 Results 1 to 38 of 38
Local variants of the Dixmier property and weak centrality for C*-algebras
International Mathematics Research Notices, vol. 2023, no. 2, pp. 1483–1513Contributions to Journals: ArticlesThe centre-quotient property and weak centrality for C∗-algebras
International Mathematics Research Notices, vol. 2022, no. 2, pp. 1173–1216Contributions to Journals: ArticlesMinimal primal ideals in the inner corona algebra of a C_{0}(X)-algebra
Houston Journal of Mathematics, vol. 46, no. 1, pp. 117-150Contributions to Journals: ArticlesMaximally unitarily mixed states on a C*-algebra
Journal of Operator Theory, vol. 80, no. 1, pp. 187-211Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.7900/jot.2017sep24.2168
Topological Frobenius reciprocity for representations of nilpotent groups and motion groups
Journal of Lie Theory, vol. 27, no. 3, pp. 745-769Contributions to Journals: ArticlesThe Dixmier property and tracial states for C*-algebras
Journal of Functional Analysis, vol. 273, no. 8, pp. 2655-2718Contributions to Journals: ArticlesThe Inner Corona Algebra of a C0(X)-Algebra
Proceedings of the Edinburgh Mathematical Society, vol. 60, no. 2, pp. 299-318Contributions to Journals: ArticlesNorms of inner derivations for multiplier algebras of C ∗ -algebras and group C ∗ -algebras, II
Advances in Mathematics, vol. 280, pp. 225-255Contributions to Journals: ArticlesThe C*-algebras of compact transformation groups
Canadian journal of mathematics. Journal canadien de mathématiques, vol. 67, no. 3, pp. 481-506Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.4153/CJM-2014-039-x
Minimal Primal Ideals in the Multiplier Algebra of a C0(X)-algebra
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1007/978-3-319-18494-4_2
Separation properties in the primitive ideal space of a multiplier algebra
Israel Journal of Mathematics, vol. 200, no. 1, pp. 389-418Contributions to Journals: ArticlesSpectral synthesis in the multiplier algebra of a C_0(X)-algebra
Quarterly Journal of Mathematics, vol. 65, no. 1, pp. 1-24Contributions 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
Journal of Functional Analysis, vol. 263, no. 4, pp. 819-845Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jfa.2012.05.005
Ideals in the multiplier and corona algebras of a Co(X)-algebra
Journal of the London Mathematical Society, vol. 85, no. 2, pp. 365-381Contributions 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
Journal of Functional Analysis, vol. 262, no. 5, pp. 2050-2073Contributions 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
Mathematica Scandinavica, vol. 110, no. 1, pp. 99-110Contributions 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
Muenster Journal of Mathematics, vol. 4, pp. 73-100Contributions to Journals: ArticlesCompletely 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. 1397-1427Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1090/S0002-9947-08-04666-7
Factorial states, upper multiplicity and norms of elementary operators
Journal of the London Mathematical Society, vol. 78, no. 3, pp. 707-722Contributions 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
Proceedings of the London Mathematical Society, vol. 96, no. 3, pp. 545-581Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/plms/pdm038
Limit sets and strengths of convergence for sequences in the duals of thread-like Lie goups
Mathematische Zeitschrift, vol. 255, no. 2, pp. 245-282Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s00209-006-0023-1
Measuring noncommutativity in C*-algebras
Journal of Functional Analysis, vol. 242, no. 1, pp. 247-271Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jfa.2006.06.012
Strength of convergence in the orbit space of a transformation group
Journal of Functional Analysis, vol. 235, pp. 90-121Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jfa.2005.10.001
Stable rank and real rank of compact transformation group C*-algebras
Studia Mathematica, vol. 175, no. 2, pp. 103-120Contributions to Journals: ArticlesOn the central Haagerup tensor product and completely bounded mappings of a C*-algebra
Journal of Functional Analysis, vol. 226, no. 2, pp. 406-428Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jfa.2005.03.006
Bounded trace C*-algebras and integrable actions
Mathematische Zeitschrift, vol. 250, no. 2, pp. 393-410Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s00209-004-0759-4
On the stable rank and real rank of group C*-algebras of nilpotent locally compact groups
Mathematica Scandinavica, vol. 97, no. 1, pp. 89-103Contributions to Journals: ArticlesSimultaneous lifting from irreducible representations of C*-algebras
Glasgow Mathematical Journal, vol. 47, no. 1, pp. 195-204Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1017/S0017089504002162
Stable rank and real rank for some classes of group C*-algebras
Transactions of the American Mathematical Society, vol. 357, no. 6, pp. 2165-2186Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1090/S0002-9947-05-03835-3
Inner Derivations and Primal Ideals of C*-Algebras, II
Proceedings of the London Mathematical Society, vol. 88, pp. 225-250Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/S002461150301431X
Strength of convergence in Duals of C*-Algebras and Nilpotent Lie Groups
Advances in Mathematics, vol. 158, pp. 26-65Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1006/aima.2000.1960
Extensions of pure states and projections of norm one II
Bulletin of the London Mathematical Society, vol. 33, pp. 67-72Contributions to Journals: ArticlesLimits of vector functionals
Journal of Operator Theory, vol. 45, pp. 39-51Contributions to Journals: ArticlesContinuous bundles of C*-algebras and tensor products
Quarterly Journal of Mathematics, vol. 50, pp. 131-146Contributions to Journals: ArticlesElementary operators on antiliminal C*-algebras
Mathematische Annalen, vol. 313, pp. 609-616Contributions to Journals: ArticlesExtensions of pure states and projections of norm one
Journal of Functional Analysis, vol. 165, pp. 24-43Contributions to Journals: ArticlesOn the topology of the dual of a nilpotent Lie group
Mathematical Proceedings of the Cambridge Philosophical Society, vol. 125, pp. 269-293Contributions to Journals: ArticlesUpper and lower multiplicity for irreducible representations of SIN-groups
Illinois Journal of Mathematics, vol. 43, pp. 692-706Contributions to Journals: Articles