A compact monothetic semitopological semigroup whose set of idempotents is not closed
Bouziad, Ahmed ; Lemanczyk, Mariusz ; Mentzen, Mieczys?aw,
HAL, hal-00373440 / Harvested from HAL
Text on HAL
For each monothetic unitary group without proper co-compact subgroups, we show the existence of a compact semitopological semigroup (affine) compactification in which the set of idempotents is not closed, answering a question of J. F. Berglund [Semigroup Forum 19 (1980), no. 4, 373--383]
Publié le : 2001-07-05
Classification:  integers,  weacly almost periodic compactification,  idempotent,  22A20,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00373440,
     author = {Bouziad, Ahmed and Lemanczyk, Mariusz and Mentzen, Mieczys?aw, },
     title = {A compact monothetic semitopological semigroup whose set of idempotents is not closed},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00373440}
}

Bouziad, Ahmed; Lemanczyk, Mariusz; Mentzen, Mieczys?aw, . A compact monothetic semitopological semigroup whose set of idempotents is not closed. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00373440/