Edit Profile (opens in new tab) Paterson, Alan L. T. Co-Author Distance Author ID: paterson.alan-l-t Published as: Paterson, Alan L. T.; Paterson, A. L. T.; Paterson, Alan L. T more...less Documents Indexed: 53 Publications since 1969, including 2 Books and 3 Additional arXiv Preprints 1 Further Contribution Co-Authors: 8 Co-Authors with 14 Joint Publications 165 Co-Co-Authors all top 5 Co-Authors 37 single-authored 6 Lau, Anthony To-Ming 4 Duncan, John 2 Beach, Richard J. 2 Muhlemann, A. P. 2 Price, D. H. R. 1 Blecher, David P. 1 Conway, John B. 1 Goodeare, Kenneth R. 1 Kadison, Richard Vincent 1 Merrill, Kathy D. 1 Milnes, Paul 1 Paschke, William Lindall 1 Shultz, Frederick W. 1 Sinclair, Allan M. 1 Smith, Roger R. 1 Solel, Baruch 1 Welch, Amy E. 1 Wong, James C. S. all top 5 Serials 7 Proceedings of the American Mathematical Society 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Functional Analysis 3 Mathematica Scandinavica 2 Canadian Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 European Journal of Operational Research 1 Houston Journal of Mathematics 1 Journal of Sound and Vibration 1 Rocky Mountain Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Operator Theory 1 \(K\)-Theory 1 Homology, Homotopy and Applications 1 Mathematical Surveys and Monographs 1 Progress in Mathematics all top 5 Fields 30 Functional analysis (46-XX) 27 Abstract harmonic analysis (43-XX) 23 Topological groups, Lie groups (22-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 \(K\)-theory (19-XX) 5 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 617 times in 549 Documents Cited by ▼ Year ▼ Amenability. Zbl 0648.43001 Paterson, Alan L. T. 171 1988 Groupoids, inverse semigroups, and their operator algebras. Zbl 0913.22001 Paterson, Alan L. T. 163 1999 Amenability for discrete convolution semigroup algebras. Zbl 0748.46027 Duncan, J.; Paterson, A. L. T. 54 1990 Graph inverse semigroups, groupoids and their \(C^*\)-algebras. Zbl 1031.46060 Paterson, Alan L. T. 46 2002 A review of manufacturing flexibility. Zbl 0968.90042 Beach, R.; Muhlemann, A. P.; Price, D. H. R.; Paterson, A.; Sharp, J. A. 25 2000 Inner amenable locally compact groups. Zbl 0718.43002 Lau, Anthony To-Ming; Paterson, Alan L. T. 20 1991 Isometries between \(B^*\)-algebras. Zbl 0181.14301 Paterson, Alan L. T. 17 1969 The exact cardinality of the set of topological left invariant means of an amenable locally compact group. Zbl 0595.43003 Lau, Anthony To-Ming; Paterson, Alan L. T. 16 1986 \(C^*\)-algebra of inverse semigroups. Zbl 0551.46045 Duncan, J.; Paterson, A. L. T. 15 1985 Characterisation of isometries between C\(^*\)-algebras. Zbl 0248.46046 Paterson, Alan L. T.; Sinclair, A. M. 10 1972 Contractive spectral triples for crossed products. Zbl 1316.58006 Paterson, Alan L. T. 9 2014 Operator theoretic characterizations of [IN]-groups and inner amenability. Zbl 0644.43002 Lau, Anthony To-Ming; Paterson, Alan L. T. 8 1988 Nuclear \(C^*\)-algebras have amenable unitary groups. Zbl 0786.46046 Paterson, Alan L. T. 8 1992 Continuous family groupoids. Zbl 0992.22001 Paterson, Alan L. T. 7 2000 Group amenability properties for von Neumann algebras. Zbl 1106.22008 Lau, Anthony T.; Paterson, Alan L. T. 7 2006 The Fourier algebra for locally compact groupoids. Zbl 1061.43008 Paterson, Alan L. T. 6 2004 Weak containment and Clifford semigroups. Zbl 0396.43006 Paterson, Alan L. T. 6 1978 Cross-sections and an explicit formula for the Plancherel measure on a nilpotent Lie group. Zbl 0627.43006 Paterson, Alan L. T. 4 1988 Monogenic inverse semigroups and their \(C^*\)-algebras. Zbl 0557.47027 Conway, J. B.; Duncan, J.; Paterson, A. L. T. 4 1984 Invariant measure semigroups. Zbl 0355.22003 Paterson, Alan L. T. 4 1977 Invariant subspace theorems for amenable groups. Zbl 0703.47004 Lau, A. T.; Paterson, A. L. T.; Wong, J. C. S. 4 1989 Virtual diagonals and \(n\)-amenability for Banach algebras. Zbl 0886.46053 Paterson, Alan L. T. 4 1996 The analytic index for proper, Lie groupoid actions. Zbl 0995.19005 Paterson, Alan L. T. 3 2001 Nonamenability and Borel paradoxical decompositions for locally compact groups. Zbl 0604.28011 Paterson, Alan L. T. 3 1986 The equivariant analytic index for proper groupoid actions. Zbl 1075.19002 Paterson, Alan L. T. 3 2004 Tychonoff’s theorem for locally compact spaces and an elementary approach to the topology of path spaces. Zbl 1099.54010 Paterson, Alan L. T.; Welch, Amy E. 3 2005 Amenability for twisted covariance algebras and group \(C^*\)-algebras. Zbl 0737.43003 Lau, Anthony T.; Paterson, Alan L. T. 3 1991 Higher-dimensional virtual diagonals and ideal cohomology for triangular algebras. Zbl 0873.47028 Paterson, Alan L. T.; Smith, Roger R. 3 1997 Ergodic sequences and a subspace of B(G). Zbl 0671.43002 Milnes, Paul; Paterson, Alan L. T. 2 1988 A non-probabilistic approach to Poisson spaces. Zbl 0511.43001 Paterson, Alan L. T. 2 1983 Harmonic analysis on unitary groups. Zbl 0526.22004 Paterson, Alan L. T. 2 1983 The cardinality of the set of left invariant means on a left amenable semigroup. Zbl 0562.43002 Paterson, Alan L. T. 2 1985 A system to support the enhancement of strategic flexibility in manufacturing enterprises. Zbl 0937.90026 Price, D. H. R.; Beach, R.; Muhlemann, A. P.; Sharp, J. A.; Paterson, A. 2 1998 Amenability and locally compact semigroups. Zbl 0396.43005 Paterson, Alan L. T. 2 1978 Amenable groups for which every topological left invariant mean is invariant. Zbl 0429.43001 Paterson, Alan L. T. 2 1979 \(C^*\)-algebras of Clifford semigroups. Zbl 0681.46052 Duncan, John; Paterson, A. L. T. 1 1989 Solutions of equations involving analytic functions defined on subsets of a Banach algebra. Zbl 0212.15202 Paterson, A. L. T. 1 1971 An integral representation of positive definite functions on a Clifford semigroup. Zbl 0358.43003 Paterson, Alan L. T. 1 1978 The E-theoretic descent functor for groupoids. Zbl 1168.19003 Paterson, Alan L. T. 1 2008 Contractive spectral triples for crossed products. Zbl 1316.58006 Paterson, Alan L. T. 9 2014 The E-theoretic descent functor for groupoids. Zbl 1168.19003 Paterson, Alan L. T. 1 2008 Group amenability properties for von Neumann algebras. Zbl 1106.22008 Lau, Anthony T.; Paterson, Alan L. T. 7 2006 Tychonoff’s theorem for locally compact spaces and an elementary approach to the topology of path spaces. Zbl 1099.54010 Paterson, Alan L. T.; Welch, Amy E. 3 2005 The Fourier algebra for locally compact groupoids. Zbl 1061.43008 Paterson, Alan L. T. 6 2004 The equivariant analytic index for proper groupoid actions. Zbl 1075.19002 Paterson, Alan L. T. 3 2004 Graph inverse semigroups, groupoids and their \(C^*\)-algebras. Zbl 1031.46060 Paterson, Alan L. T. 46 2002 The analytic index for proper, Lie groupoid actions. Zbl 0995.19005 Paterson, Alan L. T. 3 2001 A review of manufacturing flexibility. Zbl 0968.90042 Beach, R.; Muhlemann, A. P.; Price, D. H. R.; Paterson, A.; Sharp, J. A. 25 2000 Continuous family groupoids. Zbl 0992.22001 Paterson, Alan L. T. 7 2000 Groupoids, inverse semigroups, and their operator algebras. Zbl 0913.22001 Paterson, Alan L. T. 163 1999 A system to support the enhancement of strategic flexibility in manufacturing enterprises. Zbl 0937.90026 Price, D. H. R.; Beach, R.; Muhlemann, A. P.; Sharp, J. A.; Paterson, A. 2 1998 Higher-dimensional virtual diagonals and ideal cohomology for triangular algebras. Zbl 0873.47028 Paterson, Alan L. T.; Smith, Roger R. 3 1997 Virtual diagonals and \(n\)-amenability for Banach algebras. Zbl 0886.46053 Paterson, Alan L. T. 4 1996 Nuclear \(C^*\)-algebras have amenable unitary groups. Zbl 0786.46046 Paterson, Alan L. T. 8 1992 Inner amenable locally compact groups. Zbl 0718.43002 Lau, Anthony To-Ming; Paterson, Alan L. T. 20 1991 Amenability for twisted covariance algebras and group \(C^*\)-algebras. Zbl 0737.43003 Lau, Anthony T.; Paterson, Alan L. T. 3 1991 Amenability for discrete convolution semigroup algebras. Zbl 0748.46027 Duncan, J.; Paterson, A. L. T. 54 1990 Invariant subspace theorems for amenable groups. Zbl 0703.47004 Lau, A. T.; Paterson, A. L. T.; Wong, J. C. S. 4 1989 \(C^*\)-algebras of Clifford semigroups. Zbl 0681.46052 Duncan, John; Paterson, A. L. T. 1 1989 Amenability. Zbl 0648.43001 Paterson, Alan L. T. 171 1988 Operator theoretic characterizations of [IN]-groups and inner amenability. Zbl 0644.43002 Lau, Anthony To-Ming; Paterson, Alan L. T. 8 1988 Cross-sections and an explicit formula for the Plancherel measure on a nilpotent Lie group. Zbl 0627.43006 Paterson, Alan L. T. 4 1988 Ergodic sequences and a subspace of B(G). Zbl 0671.43002 Milnes, Paul; Paterson, Alan L. T. 2 1988 The exact cardinality of the set of topological left invariant means of an amenable locally compact group. Zbl 0595.43003 Lau, Anthony To-Ming; Paterson, Alan L. T. 16 1986 Nonamenability and Borel paradoxical decompositions for locally compact groups. Zbl 0604.28011 Paterson, Alan L. T. 3 1986 \(C^*\)-algebra of inverse semigroups. Zbl 0551.46045 Duncan, J.; Paterson, A. L. T. 15 1985 The cardinality of the set of left invariant means on a left amenable semigroup. Zbl 0562.43002 Paterson, Alan L. T. 2 1985 Monogenic inverse semigroups and their \(C^*\)-algebras. Zbl 0557.47027 Conway, J. B.; Duncan, J.; Paterson, A. L. T. 4 1984 A non-probabilistic approach to Poisson spaces. Zbl 0511.43001 Paterson, Alan L. T. 2 1983 Harmonic analysis on unitary groups. Zbl 0526.22004 Paterson, Alan L. T. 2 1983 Amenable groups for which every topological left invariant mean is invariant. Zbl 0429.43001 Paterson, Alan L. T. 2 1979 Weak containment and Clifford semigroups. Zbl 0396.43006 Paterson, Alan L. T. 6 1978 Amenability and locally compact semigroups. Zbl 0396.43005 Paterson, Alan L. T. 2 1978 An integral representation of positive definite functions on a Clifford semigroup. Zbl 0358.43003 Paterson, Alan L. T. 1 1978 Invariant measure semigroups. Zbl 0355.22003 Paterson, Alan L. T. 4 1977 Characterisation of isometries between C\(^*\)-algebras. Zbl 0248.46046 Paterson, Alan L. T.; Sinclair, A. M. 10 1972 Solutions of equations involving analytic functions defined on subsets of a Banach algebra. Zbl 0212.15202 Paterson, A. L. T. 1 1971 Isometries between \(B^*\)-algebras. Zbl 0181.14301 Paterson, Alan L. T. 17 1969 all cited Publications top 5 cited Publications all top 5 Cited by 583 Authors 21 Lau, Anthony To-Ming 13 Steinberg, Benjamin 10 Amini, Massoud 10 Clark, Lisa Orloff 10 Exel, Ruy 9 Resende, Pedro 9 Sims, Aidan 8 Ara, Pere 8 Lawson, Mark Verus 8 Paterson, Alan L. T. 8 Shtern, Aleksandr Isaakovich 7 Lledó, Fernando 7 Zhang, Yong 6 Bergelson, Vitaly 6 de Castro, Gilles Gonçalves 6 Kaniuth, Eberhard 6 Nam, Tran Giang 5 Bardyla, Serhii 5 Carrillo-Rouse, Paulo 5 Hazrat, Roozbeh 5 Meyer, Ralf 5 Pysiak, Leszek 5 Strauss, Dona 4 Bédos, Erik 4 Behrouzi, Farid 4 Bekka, Mohammed el Bachir 4 Beltiţă, Daniel 4 Bingham, Nicholas Hugh 4 Burgstaller, Bernhard 4 Buss, Alcides 4 Carlsen, Toke Meier 4 Cordeiro, Luiz Gustavo 4 Crann, Jason 4 Debord, Claire 4 Downarowicz, Tomasz 4 Filali, Mahmoud 4 Ghaffari, Ali 4 Ghahramani, Fereidoun 4 Guido, Daniele 4 Isola, Tommaso 4 Li, Hanfeng 4 Medghalchi, Ali Reza 4 Nasr-Isfahani, Rasoul 4 Ostaszewski, Adam J. 4 Peralta, Antonio M. 4 Pestov, Vladimir G. 4 Raeburn, Iain 4 Rostami, Mehdi 4 Sahami, Amir 4 Soroushmehr, Maedeh 4 Starling, Charles 4 Timmermann, Thomas 4 Tootkaboni, Mohammad Akbari 3 Aiello, Valeriano 3 an Huef, Astrid 3 Araújo, João 3 Askari-Sayah, M. 3 Bodaghi, Abasalt 3 Bönicke, Christian 3 Cherubini, Alessandra 3 Gonçalves, Daniel 3 Heller, Michał Kazimierz 3 Hindman, Neil 3 Hopfensperger, John 3 Hou, Chengjun 3 Lashkarizadeh Bami, M. 3 Li, Kang 3 Li, Xin 3 Loy, Richard J. 3 Mesyan, Zachary 3 Miao, Tianxuan 3 Neufang, Matthias 3 Ng, Chi-Keung 3 Peres, Yuval 3 Popov, Alexey I. 3 Pourabbas, Abdolrasoul 3 Sangani-Monfared, Mehdi 3 Sasin, Wiesław 3 Schlichting, Günter 3 Shi, Enhui 3 Skandalis, Georges 3 Smith, Roger R. 3 Wong, Ngai-Ching 3 Yan, Kesong 3 Yi, Inhyeop 2 Akhtari, Fatemeh 2 Anantharaman-Delaroche, Claire 2 Armstrong, Becky 2 Badora, Roman 2 Beltiţă, Ingrid 2 Bernik, Janez 2 Beuter, Viviane Maria 2 Boava, Giuliano 2 Brown, Jonathan Henry 2 Brownlowe, Nathan 2 Capraro, Valerio 2 Ceccherini-Silberstein, Tullio G. 2 Chojnacki, Wojciech 2 Conti, Roberto 2 Coornaert, Michel ...and 483 more Authors all top 5 Cited in 165 Serials 46 Journal of Functional Analysis 39 Semigroup Forum 33 Advances in Mathematics 25 Proceedings of the American Mathematical Society 25 Transactions of the American Mathematical Society 22 Journal of Mathematical Analysis and Applications 17 Israel Journal of Mathematics 14 Journal of Pure and Applied Algebra 13 Journal of Algebra 12 Topology and its Applications 11 Journal of Noncommutative Geometry 9 International Journal of Mathematics 8 Ergodic Theory and Dynamical Systems 7 Rocky Mountain Journal of Mathematics 7 Journal of the Australian Mathematical Society 6 Bulletin of the Australian Mathematical Society 6 Russian Journal of Mathematical Physics 5 Journal of Geometry and Physics 5 Expositiones Mathematicae 5 Groups, Geometry, and Dynamics 4 Communications in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Studia Mathematica 4 Archiv der Mathematik 4 Illinois Journal of Mathematics 4 Acta Mathematica Sinica. English Series 3 Communications in Algebra 3 Journal d’Analyse Mathématique 3 Annales de l’Institut Fourier 3 Demonstratio Mathematica 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Journal of the American Mathematical Society 3 Indagationes Mathematicae. New Series 3 Bulletin des Sciences Mathématiques 3 Abstract and Applied Analysis 3 Annals of Mathematics. Second Series 3 Banach Journal of Mathematical Analysis 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Houston Journal of Mathematics 2 International Journal of Theoretical Physics 2 Periodica Mathematica Hungarica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Commentationes Mathematicae Universitatis Carolinae 2 Czechoslovak Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Integral Equations and Operator Theory 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Bulletin of the Korean Mathematical Society 2 Forum Mathematicum 2 International Journal of Algebra and Computation 2 The Journal of Fourier Analysis and Applications 2 Documenta Mathematica 2 Matematychni Studiï 2 Journal of Dynamical and Control Systems 2 Lobachevskii Journal of Mathematics 2 Annales Henri Poincaré 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Fixed Point Theory and Applications 2 Operators and Matrices 2 Journal of Topology and Analysis 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Algebra Universalis 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 International Journal of Game Theory 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods ...and 65 more Serials all top 5 Cited in 43 Fields 262 Functional analysis (46-XX) 202 Abstract harmonic analysis (43-XX) 186 Topological groups, Lie groups (22-XX) 144 Group theory and generalizations (20-XX) 75 Operator theory (47-XX) 65 Dynamical systems and ergodic theory (37-XX) 45 Associative rings and algebras (16-XX) 36 General topology (54-XX) 32 Category theory; homological algebra (18-XX) 27 Combinatorics (05-XX) 27 Global analysis, analysis on manifolds (58-XX) 24 \(K\)-theory (19-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 19 Measure and integration (28-XX) 14 Probability theory and stochastic processes (60-XX) 14 Quantum theory (81-XX) 12 Manifolds and cell complexes (57-XX) 8 Mathematical logic and foundations (03-XX) 7 Number theory (11-XX) 7 Differential geometry (53-XX) 6 Algebraic topology (55-XX) 6 Computer science (68-XX) 4 Partial differential equations (35-XX) 3 Nonassociative rings and algebras (17-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General algebraic systems (08-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year