Distal compactifications of group extensions

Rocky Mountain Journal of Mathematics

Volumn 29, Issue 1, 1999, Pages 209-227

  Junghenn, H D ^a   Milnes, P ^b  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Distal; Furstenberg structure; Group extension; Left norm continuous; Point distal; Right topological group compactification; Semi direct product; Topological group

Indexed keywords

EID: 0033247239     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181071687     Document Type: Article

References (13)

1. J.F. Berglund, H.D. Junghenn and P. Milnes, Analysis on semigroups: Function spaces, compactifications, representations, John Wiley & Sons, New York, 1989.
2. R. Ellis, The Furstenberq structure theorem, Pacific J. Math. 76 (1978), 345-349.
3. H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477-515.
4. E. Hewitt and K.A. Ross, Abstract harmonic analysis I. Springer-Verlag, New York, 1963.
5. H.D. Junghenn and B. Lerner, Semigroup compactifications of semidirect products, Trans. Amer. Math. Soc. 265 (1981), 393-404.
6. H.D. Junghenn and P. Milnes, Almost periodic compactifications of group extensions, preprint.
7. H.D. Junghenn and R. Pandian, Existence and structure theorems for semigroup compactifications, Semigroup Forum 28 (1984), 109-122.
8. A. Knapp, Distal functions on groups, Trans. Amer. Math. Soc. 128 (1967), 1-40.
9. A.T. Lau, P. Milnes and J.S. Pym, Compactifications of locally compact groups and quotients, Math. Proc. Camb. Phil. Soc. 116 (1994), 451-63.
10. P. Milnes and J. Pym, Homomorphisms of minimal and distal flows, Nigerian J. Math. 11 (1992), 63-80.
11. I. Namioka, Right topological groups, distal flows and a fixed point theorem, Math. Systems Theory 6 (1972), 193-209.
12. O. Schreier, Uber die Erweiterung von Gruppen I, Monatsh. Math. Phys. 34 (1926), 165-180.
13. W.R. Scott, Group theory, Prentice Hall, Englewood Cliffs, New Jersey, 1964