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Principal groupoids with continuous weak multiplication

Published online by Cambridge University Press:  17 April 2009

H. Amiri  and
M. Lashkarizadeh Bami
H. Amiri
Affiliation:
Department of Mathematics, University of Isfahan, Iran, e-mail: [email protected], [email protected]
M. Lashkarizadeh Bami
Affiliation:
Department of Mathematics, University of Isfahan, Iran, e-mail: [email protected], [email protected]
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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
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 1 , August 2006 , pp. 15 - 28
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