Flows on Invariant Subsets and Compactifications of a Locally Compact Group

ArticleOriginal scientific text

Title

Authors ¹, ², ³

Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1 Canada
Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7 Canada
Department of Mathematics, University of Sheffield, Sheffield S10 2TN, England

flow, distal, almost periodic, left uniformly continuous function, subgroup, locally compact group, IN group, compactification

J. F. Berglund, H. D. Junghenn and P. Milnes, Analysis on Semigroups, Wiley, New York, 1989.
R. Ellis, Distal transformation groups, Pacific J. Math. 9 (1958), 401-405.
S. Glasner, Proximal Flows, Lecture Notes in Math. 517, Springer, Berlin, 1976.
E. Hewitt and K. A. Ross, Abstract Harmonic Analysis I, Springer, Berlin, 1963.
A. W. Knapp, Decomposition theorem for bounded uniformly continuous functions on a group, Amer. J. Math. 88 (1966), 902-914.
A. T. Lau, P. Milnes and J. Pym, Compactifications of locally compact groups and quotients, Math. Proc. Cambridge Philos. Soc. 116 (1994), 451-463.
J. D. Lawson, Flows and compactifications, J. London Math. Soc. 46 (1992), 349-363.
J. Liukkonen, Dual spaces of locally compact groups with precompact conjugacy classes, Trans. Amer. Math. Soc. 180 (1973), 85-108 .
T. W. Palmer, Classes of nonabelian, noncompact, locally compact groups, Rocky Mountain J. Math. 8 (1978), 683-741.
T. W. Palmer, Banach Algebras and the General Theory of $^\cdot$ -Algebras, Cambridge Univ. Press, Cambridge, 1994.
J. Rosenblatt, A distal property of groups and the growth of connected locally compact groups, Mathematika 26 (1979), 94-98.
W. Ruppert, On semigroup compactifications of topological groups, Proc. Roy. Irish Acad. Sect. A 79 (1979), 179-200.
W. A. Veech, Topological dynamics, Bull. Amer. Math. Soc. 83 (1977), 775-830.