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Robert J Archbold

Professor

    • AB24 3UE

    • 124 Citations
    19992019
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    Research Output 1999 2019

    • 124 Citations
    • 34 Article
    • 1 Conference contribution
    2019

    Minimal primal ideals in the inner corona algebra of a C_{0}(X)-algebra

    Archbold, R. J. & Somerset, D. W. B., 24 Jan 2019, (Accepted/In press) In : Houston Journal of Mathematics.

    Research output: Contribution to journalArticle

    Corona
    Equivalence relation
    Closed
    Algebra
    Extremally Disconnected
    2018

    Maximally unitarily mixed states on a C*-algebra

    Archbold, R. J., Robert, L. & Tikuisis, A., 1 Aug 2018, In : Journal of Operator Theory. 80, 1, p. 187-211 25 p.

    Research output: Contribution to journalArticle

    Mixed State
    C*-algebra
    Von Neumann Algebra
    Quotient
    Closure
    2017
    8 Downloads (Pure)

    The Dixmier property and tracial states for C*-algebras

    Archbold, R., Robert, L. & Tikuisis, A., Oct 2017, In : Journal of Functional Analysis. 273, 8, p. 2655-2718 55 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    C*-algebra
    Unital
    Simple C*-algebras
    Numerical Range
    Von Neumann Algebra
    1 Citation (Scopus)
    5 Downloads (Pure)

    The Inner Corona Algebra of a C0(X)-Algebra

    Archbold, R. J. & Somerset, D. W. B., May 2017, In : Proceedings of the Edinburgh Mathematical Society. 60, 2, p. 299-318 20 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Corona
    Algebra
    Multiplier Algebra
    Primitive Ideal
    First Countable

    Topological Frobenius reciprocity for representations of nilpotent groups and motion groups

    Archbold, R. J. & Kaniuth, E., 2017, In : Journal of Lie Theory. 27, 3, p. 745-769 25 p.

    Research output: Contribution to journalArticle

    Nilpotent Group
    Locally Compact Group
    Reciprocity
    Frobenius
    Pi
    2015

    Minimal Primal Ideals in the Multiplier Algebra of a C0(X)-algebra

    Archbold, R. J. & Somerset, D. W. B., 2015, Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Arendt, W., Chill, R. & Tomilov, Y. (eds.). Springer , p. 17-29 13 p. (Operator Theory: Advances and Applications; vol. 250).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Multiplier Algebra
    Algebra
    Extremally Disconnected
    Primitive Ideal
    Limit Set
    2 Citations (Scopus)
    8 Downloads (Pure)

    Norms of inner derivations for multiplier algebras of C ∗ -algebras and group C ∗ -algebras, II

    Archbold, R. J., Kaniuth, E. & Somerset, D. W. B., 6 Aug 2015, In : Advances in Mathematics. 280, p. 225-255 31 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Inner Derivation
    Group C*-algebra
    Multiplier Algebra
    C*-algebra
    Norm
    1 Citation (Scopus)

    The C*-algebras of compact transformation groups

    Archbold, R. J. & an Huef, A., 1 Jun 2015, In : Canadian journal of mathematics. Journal canadien de mathématiques. 67, 3, p. 481-506 26 p.

    Research output: Contribution to journalArticle

    Transformation group
    Compact Hausdorff Space
    Crossed Product
    Compact Group
    Locally Compact
    2014
    1 Citation (Scopus)
    4 Downloads (Pure)

    Separation properties in the primitive ideal space of a multiplier algebra

    Archbold, R. J. & Somerset, D. W. B., Jun 2014, In : Israel Journal of Mathematics. 200, 1, p. 389-418 30 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Inner Derivation
    Multiplier Algebra
    Primitive Ideal
    Separation Property
    C*-algebra
    4 Citations (Scopus)
    4 Downloads (Pure)

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

    Archbold, R. J. & Somerset, D. W. B., 1 Mar 2014, In : Quarterly Journal of Mathematics. 65, 1, p. 1-24 24 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Spectral Synthesis
    Multiplier Algebra
    Algebra
    Continuous Map
    Strictly
    2012
    6 Citations (Scopus)

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

    Archbold, R. J. & Somerset, D. W. B., Apr 2012, In : Journal of the London Mathematical Society. 85, 2, p. 365-381 17 p.

    Research output: Contribution to journalArticle

    Corona
    Maximal Ideal
    Multiplier
    Rings of Continuous Functions
    Multiplier Algebra
    3 Citations (Scopus)

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

    Archbold, R. J., Kaniuth, E. & Somerset, D. W. B., 1 Mar 2012, In : Journal of Functional Analysis. 262, 5, p. 2050-2073 24 p.

    Research output: Contribution to journalArticle

    Open Access
    Inner Derivation
    Group C*-algebra
    Multiplier Algebra
    C*-algebra
    Norm
    1 Citation (Scopus)

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

    Archbold, R. J. & Kaniuth, E., 1 Mar 2012, In : Mathematica Scandinavica. 110, 1, p. 99-110 12 p.

    Research output: Contribution to journalArticle

    Locally Compact Group
    C*-algebra
    Identity element
    Heisenberg Group
    Connected Components

    Strength of convergence in non-free transformation groups

    Archbold, R. J. & an Huef, A., 15 Aug 2012, In : Journal of Functional Analysis. 263, 4, p. 819-845 27 p.

    Research output: Contribution to journalArticle

    Open Access
    Orbit Space
    Transformation group
    Crossed Product
    Representation Theory
    C*-algebra
    2009
    6 Citations (Scopus)

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

    Archbold, R. J., Somerset, D. W. B. & Timoney, R. M., Mar 2009, In : Transactions of the American Mathematical Society. 361, 3, p. 1397-1427 31 p.

    Research output: Contribution to journalArticle

    2008
    1 Citation (Scopus)

    Factorial states, upper multiplicity and norms of elementary operators

    Archbold, R. J., Somerset, D. W. B. & Timoney, R. M., Aug 2008, In : Journal of the London Mathematical Society. 78, 3, p. 707-722 15 p.

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

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

    Archbold, R. J. & an Huef, A., May 2008, In : Proceedings of the London Mathematical Society. 96, 3, p. 545-581 36 p.

    Research output: Contribution to journalArticle

    2007
    8 Citations (Scopus)

    Limit sets and strengths of convergence for sequences in the duals of thread-like Lie goups

    Archbold, R. J., Ludwig, J. & Schlichting, G., Feb 2007, In : Mathematische Zeitschrift. 255, 2, p. 245-282 38 p.

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Measuring noncommutativity in C*-algebras

    Archbold, R. J. & Somerset, D. W. B., 1 Jan 2007, In : Journal of Functional Analysis. 242, 1, p. 247-271 25 p.

    Research output: Contribution to journalArticle

    2006
    1 Citation (Scopus)

    Stable rank and real rank of compact transformation group C*-algebras

    Archbold, R. J. & Kaniuth, E., 2006, In : Studia Mathematica. 175, 2, p. 103-120 17 p.

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Strength of convergence in the orbit space of a transformation group

    Archbold, R. J. & an Huef, A., Jun 2006, In : Journal of Functional Analysis. 235, p. 90-121 31 p.

    Research output: Contribution to journalArticle

    2005
    6 Citations (Scopus)

    Bounded trace C*-algebras and integrable actions

    Archbold, R. J. & Deicke, C., 2005, In : Mathematische Zeitschrift. 250, 2, p. 393-410 17 p.

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    On the central Haagerup tensor product and completely bounded mappings of a C*-algebra

    Archbold, R. J., Somerset, D. W. B. & Timoney, R. M., Sep 2005, In : Journal of Functional Analysis. 226, 2, p. 406-428 22 p.

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

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

    Archbold, R. J. & Kaniuth, E., 2005, In : Mathematica Scandinavica. 97, 1, p. 89-103 14 p.

    Research output: Contribution to journalArticle

    Simultaneous lifting from irreducible representations of C*-algebras

    Archbold, R. J. & Lazar, A., 2005, In : Glasgow Mathematical Journal. 47, 1, p. 195-204 9 p.

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Stable rank and real rank for some classes of group C*-algebras

    Archbold, R. J. & Kaniuth, E., 2005, In : Transactions of the American Mathematical Society. 357, 6, p. 2165-2186 21 p.

    Research output: Contribution to journalArticle

    2004
    6 Citations (Scopus)

    Inner Derivations and Primal Ideals of C*-Algebras, II

    Archbold, R. J. & Somerset, D. W. B., Jan 2004, In : Proceedings of the London Mathematical Society. 88, p. 225-250 25 p.

    Research output: Contribution to journalArticle

    2001
    3 Citations (Scopus)

    Extensions of pure states and projections of norm one II

    Archbold, R. J., 2001, In : Bulletin of the London Mathematical Society. 33, p. 67-72 5 p.

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Limits of vector functionals

    Archbold, R. J. & Shah, M. H., 2001, In : Journal of Operator Theory. 45, p. 39-51 12 p.

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Strength of convergence in Duals of C*-Algebras and Nilpotent Lie Groups

    Archbold, R. J., Kaniuth, E., Ludwig, J., Schlichting, G. & Somerset, D. W. B., Mar 2001, In : Advances in Mathematics. 158, p. 26-65 39 p.

    Research output: Contribution to journalArticle

    1999
    5 Citations (Scopus)

    Continuous bundles of C*-algebras and tensor products

    Archbold, R. J., 1999, In : Quarterly Journal of Mathematics. 50, p. 131-146 16 p.

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Elementary operators on antiliminal C*-algebras

    Archbold, R. J., Mathieu, M. & Somerset, D. W. B., 1999, In : Mathematische Annalen. 313, p. 609-616 8 p.

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Extensions of pure states and projections of norm one

    Archbold, R. J., 1999, In : Journal of Functional Analysis. 165, p. 24-43 20 p.

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    On the topology of the dual of a nilpotent Lie group

    Archbold, R. J., Somerset, D. W. B., Kaniuth, E. & Schlichting, G., 1999, In : Mathematical Proceedings of the Cambridge Philosophical Society. 125, p. 269-293 25 p.

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Upper and lower multiplicity for irreducible representations of SIN-groups

    Archbold, R. J. & Kaniuth, E., 1999, In : Illinois Journal of Mathematics. 43, p. 692-706 15 p.

    Research output: Contribution to journalArticle