No CrossRef data available.
Article contents
Principal groupoids with continuous weak multiplication
Published online by Cambridge University Press: 17 April 2009
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
In the present paper by extending the original multiplication of a principal groupoid to a weak multiplication and introducing a notion of semitopological semigroupoid compactification we have proved that every principal groupoid with a continuous weak multiplication has a semitopological semigroupoid compactification.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2006
References
[1]Bergland, J.F., Junghenn, H.D. and Milnes, P., Analysis on semigroups, function spaces, compactifications, representations (J. Wiley and Sons, New york, 1989).Google Scholar
[2]Burckel, R.B., Weakly almost periodic functions on semigroups (Gordon and Breach, New york, 1970).Google Scholar
[3]Paterson, A.L.T., Groupoids, inverse semigroups and their operator algebras, Progress in Mathematics 170 (Birkhäuser, Boston, 1999).CrossRefGoogle Scholar
[4]Renault, J., A groupoid approach to C* -Algebra, Lecture Note in Mathematics 793 (Springer-Verlag, New York. Heidelberg, 1980).CrossRefGoogle Scholar
[5]Muhly, P.S., Coordinates in operator Algebra, (CBMS Regional Conference Series in Mathematics) (American Mathematical Society, Providence), pp. 180 (to appear).Google Scholar