The Wilson remainders for all primes less than 50,000 have been computed and tabulated. The distribution of the remainders divided by the corresponding primes has also been examined.
Y. KawahigashiUniversity of Tokyo, Tokyo, JapanC. E. SutherlandUniversity of New South Wales, Kensington, New South Wales, AustraliaM. TakesakiUniversity of California, Los Angeles, CA, USA
Elliott G A. Towards a theory of classification[J]. Advances in Mathematics, 2007, 223(1): 30-48.
2
Falcone T, Takesaki M. The Non-commutative Flow of Weights on a Von Neumann Algebra[J]. Journal of Functional Analysis, 2001, 182(1): 170-206.
3
Yasuyuki Kawahigashi. Centrally trivial automorphisms and an analogue of Connes’s $\chi(M)$ for subfactors. 1993.
4
Ando H, Haagerup U. Ultraproducts of von Neumann Algebras[J]. Journal of Functional Analysis, 2012, 266(12): 6842-6913.
5
Masuda T, Tomatsu R. Classification of minimal actions of a compact Kac algebra with amenable dual[J]. Communications in Mathematical Physics, 2006, 274(2): 487-551.
6
Kawahigashi Y. Classification of approximately inner automorphisms of subfactors[J]. Mathematische Annalen, 1997, 308(3): 425-438.
7
David E Evans · Yasuyuki Kawahigashi. Subfactors and Conformal Field Theory. 1993.
8
Masuda T, Tomatsu R. Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III[J]. Journal of Functional Analysis, 2008, 258(6): 1965-2025.
9
Masuda T. Unified approach to classification of actions of discrete amenable groups on injective factors[J]. Crelle\u0027s Journal, 2010, 2013(683): 1-47.
10
George Elliot · David E Evans · Akitaka Kishimoto. Outer conjugacy classes of trace scaling automorphisms of stable UHF algebras. 1998.
Williams D P. Crossed products of C*-algebras[C]., 2007.
2
Busby R C. DOUBLE CENTRALIZERS AND EXTENSIONS OF C*-ALGEBRAS[J]. Transactions of the American Mathematical Society, 2014, 132(1).
3
Akemann C A, Pedersen G K, Tomiyama J, et al. Multipliers of C∗-algebras[J]. Journal of Functional Analysis, 1973, 13(3): 277-301.
4
Mackey G W. Infinite-dimensional group representations[J]. Bulletin of the American Mathematical Society, 1963, 69(5): 628-686.
5
Ellis R W. Locally compact transformation groups[J]. Duke Mathematical Journal, 1957, 24(2): 119-125.
6
Fell J M. Weak containment and induced representations of groups. II[J]. Transactions of the American Mathematical Society, 1964, 110(3): 424-447.
7
Robert C Busby. Double centralizers and extensions of *-algebras. 1968.
8
Mathai V, Rosenberg J. T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology[J]. Communications in Mathematical Physics, 2004, 253(3): 705-721.
9
Green P. C -ALGEBRAS OF TRANSFORMATION GROUPS WITH SMOOTH ORBIT SPACE[J]. Pacific Journal of Mathematics, 1977, 72(1): 71-97.
10
Karl H Hofmann. Representations of algebras by continuous sections. 1972.
Holley R A, Stroock D W. Diffusions on an infinite dimensional torus[J]. Journal of Functional Analysis, 1981, 42(1): 29-63.
2
Cocozzathivent C. Processus des misanthropes[J]. Probability Theory and Related Fields, 1985, 70(4): 509-523.
3
T M Liggett. The stochastic evolution of infinite systems of interacting particles. 1977.
4
Kondratiev Y G, Lytvynov E. Glauber dynamics of continuous particle systems[J]. Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2003, 41(4): 685-702.
5
David Griffeath · Thomas M Liggett. Critical Phenomena for Spitzer's Reversible Nearest Particle Systems. 1982.
6
Finkelshtein D, Kondratiev Y, Oliveira M J, et al. Markov evolutions and hierarchical equations in the continuum. I: one-component systems[J]. Journal of Evolution Equations, 2009, 9(2): 197-233.
7
Liu X. Infinite reversible nearest particle systems in inhomogeneous and Random environments[J]. Stochastic Processes and their Applications, 1991, 38(2): 295-322.
8
Kondratiev Y G, Kutoviy O. On the metrical properties of the configuration space[J]. Mathematische Nachrichten, 2006, 279(7): 774-783.
9
Yuri Kondratiev · Oleksandr Kutoviy · R A Minlos. On non-equilibrium stochastic dynamics for interacting particle systems in continuum. 2008.
10
Durrett R. An infinite particle system with additive interactions[J]. Advances in Applied Probability, 1979, 11(02): 355-383.