Select Publications
Book Chapters
2015, 'Quantum Systems and Resolvent Algebras', in Lecture Notes in Physics, Springer Berlin Heidelberg, pp. 33 - 45, http://dx.doi.org/10.1007/978-3-662-46422-9_2
,1986, 'Algebraic Structures of Degenerate Systems, Physical Requirements and the Indefinite Metric', in Symmetries in Science II, Springer US, pp. 217 - 223, http://dx.doi.org/10.1007/978-1-4757-1472-2_17
,Journal articles
2020, 'Crossed products of C∗-algebras for singular actions with spectrum conditions', Journal of Operator Theory, 84, pp. 369 - 451, http://dx.doi.org/10.7900/jot.2019jun14.2265
,2020, 'Covariant representations for possibly singular actions on $C^*$-algebras', Dissertationes Mathematicae, 549, pp. 1 - 94, http://dx.doi.org/10.4064/dm793-6-2019
,2018, 'Erratum: "Full regularity for a C*-algebra of the canonical commutation relations"', Reviews in Mathematical Physics, 30, pp. 1792002 - 1792002, http://dx.doi.org/10.1142/s0129055x17920027
,2017, 'Dynamics for QCD on an Infinite Lattice', Communications in Mathematical Physics, 349, pp. 1163 - 1202, http://dx.doi.org/10.1007/s00220-016-2733-5
,2014, 'Crossed products of
2013, 'Infinite tensor products of $C_0(\mathbb{R})$: towards a group algebra for $\mathbb{R}^{(\mathbb{N})}$', Journal of Operator Theory, 70, pp. 311 - 353, http://dx.doi.org/10.7900/jot.2011aug22.1930
,2013, 'Lie algebras of derivations and resolvent algebras', Communications in Mathematical Physics, 320, pp. 455 - 467, http://dx.doi.org/10.1007/s00220-012-1567-z
,2013, 'QCD on an Infinite Lattice', Communications in Mathematical Physics, 318, pp. 717 - 766, http://dx.doi.org/10.1007/s00220-013-1674-5
,2010, 'Localization via automorphisms of the CARs. Local gauge invariance', Letters in Mathematical Physics, 93, pp. 169 - 185
,2009, 'Full regularity for a c*-algebra of the canonical commutation relations', Reviews In Mathematical Physics, 21, pp. 587 - 613
,2009, 'FULL REGULARITY FOR A C*-ALGEBRA OF THE CANONICAL COMMUTATION RELATIONS', Reviews in Mathematical Physics, 21, pp. 587 - 613, http://dx.doi.org/10.1142/s0129055x09003670
,2008, 'Generalising group algebras', Journal of the London Mathematical Society, 77, pp. 270 - 271, http://dx.doi.org/10.1112/jlms/jdm112
,2008, 'The resolvent algebra: A new approach to canonical quantum systems', Journal of Functional Analysis, 254, pp. 2725 - 2779, http://dx.doi.org/10.1016/j.jfa.2008.02.011
,2007, 'Algebraic supersymmetry: A case study', Communications in Mathematical Physics, 272, pp. 699 - 750
,2006, 'Quantum constraints', Reports on Mathematical Physics, 57, pp. 97 - 120
,2005, 'Generalising Group Algebras', Journal of the London Mathematical Society - Second Series, 72, pp. 742 - 762
,2005, 'Superselection in the presence of constraints', Journal of mathematical physics, 46, pp. 082303
,2004, 'On the problem of the amenability of the gauge group', Letters in Mathematical Physics, 68, pp. 113 - 120
,2000, 'An obstruction to quantizing compact symplectic manifolds', Proceedings of the American Mathematical Society, 128, pp. 237 - 243, http://dx.doi.org/10.1090/s0002-9939-99-05007-8
,2000, 'Local quantum constraints', Reviews In Mathematical Physics, 12, pp. 1159 - 1218
,1998, 'Constrained dynamics for quantum mechanics. I. Restricting a particle to a surface', Journal of mathematical physics, pp. 3091 - 3119
,1997, 'A group algebra for inductive limit groups. Continuity problems of the canonical commutation relations', ACTA Applicandae Mathematicae, pp. 107 - 145
,1997, 'On quantizing T*S1', Reports on Mathematical Physics, pp. 107 - 123
,1996, 'A Groenewold-Van hove theorem for S2', Transactions of the American Mathematical Society, pp. 1579 - 1597
,1996, 'Obstruction results in quantization theory', Journal of Nonlinear Science, pp. 469 - 498
,1995, 'Group actions on C*-algebras, 3-cocycles and quantum field theory', Communications in Mathematical Physics, 168, pp. 389 - 416, http://dx.doi.org/10.1007/BF02101555
,1995, 'Realizing 3-cocycles as obstructions', Journal of mathematical physics, pp. 2605 - 2620
,1993, 'The operator quantization of the open bosonic string: Field algebra', Communications in Mathematical Physics, 156, pp. 473 - 525, http://dx.doi.org/10.1007/bf02096861
,1989, 'The quantum theory of second class constraints: Kinematics', Communications in Mathematical Physics, 122, pp. 527 - 529, http://dx.doi.org/10.1007/bf01238438
,1988, 'A note on regular states and supplementary conditions', Letters in Mathematical Physics, 15, pp. 205 - 212, http://dx.doi.org/10.1007/bf00398589
,1988, 'Systems with outer constraints. Gupta-Bleuler electromagnetism as an algebraic field theory', Communications in Mathematical Physics, 114, pp. 69 - 91, http://dx.doi.org/10.1007/bf01218289
,1988, 'The quantum theory of second class constraints: Kinematics', Communications in Mathematical Physics, 119, pp. 75 - 93, http://dx.doi.org/10.1007/bf01218261
,1987, 'Algebraic structures of degenerate systems and the indefinite metric', Journal of Mathematical Physics, 28, pp. 559 - 572, http://dx.doi.org/10.1063/1.527641
,1987, 'Algebraic structure of degenerate systems', Bulletin of the Australian Mathematical Society, 36, pp. 341 - 344, http://dx.doi.org/10.1017/s0004972700026629
,1985, 'Algebraic quantization of systems with a gauge degeneracy', Communications in Mathematical Physics, 98, pp. 369 - 390, http://dx.doi.org/10.1007/BF01205789
,Preprints
2018, Crossed products of C^*-algebras for singular actions with spectrum conditions, , http://dx.doi.org/10.48550/arxiv.1809.09781
,2017, Covariant representations for possibly singular actions on C*-algebras, , http://dx.doi.org/10.48550/arxiv.1708.01028
,2012, Crossed products of C*-algebras for singular actions, , http://dx.doi.org/10.48550/arxiv.1210.3409
,2010, Infinite Tensor Products of C_0(R): Towards a Group Algebra for R^\infty, , http://dx.doi.org/10.48550/arxiv.1001.1012
,2010, Localization via Automorphisms of the CARs. Local gauge invariance, , http://dx.doi.org/10.48550/arxiv.1001.1010
,2006, Full regularity for a C*-algebra of the Canonical Commutation Relations. (Erratum added), , http://dx.doi.org/10.48550/arxiv.math/0605413
,2004, Superselection in the presence of constraints, , http://dx.doi.org/10.48550/arxiv.math-ph/0405038
,1998, Local Quantum Constraints, , http://dx.doi.org/10.48550/arxiv.math-ph/9812022
,1997, Nonexistence of Finite-dimensional Quantizations of a Noncompact Symplectic Manifold, , http://dx.doi.org/10.48550/arxiv.dg-ga/9710024
,1997, An Obstruction to Quantizing Compact Symplectic Manifolds, , http://dx.doi.org/10.48550/arxiv.dg-ga/9706001
,1996, On Quantizing $T^*S^1$, , http://dx.doi.org/10.48550/arxiv.quant-ph/9609025
,1996, Obstruction Results in Quantization Theory, , http://dx.doi.org/10.48550/arxiv.dg-ga/9605001
,1995, A Groenewold-Van Hove Theorem for S^2, , http://dx.doi.org/10.48550/arxiv.dg-ga/9502008
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