Local topological structure in the LUC-compactification of a locally compact group and its relationship with veech's theorem
Semigroup Forum, cilt.73, sa.2, ss.159-174, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 73 Sayı: 2
- Basım Tarihi: 2006
- Doi Numarası: 10.1007/s00233-006-0623-4
- Dergi Adı: Semigroup Forum
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.159-174
- Boğaziçi Üniversitesi Adresli: Evet
Özet
The paper begins by presenting a construction of the largest semigroup compactification GLUC of a locally compact group as a quotient of the Stone-Cech compactification of the discrete group βGd. This presentation is used in a proof of the local structure theorem for G LUC, which gives a topological description of neighbourhoods of each point, and some new extensions of this result. These immediately imply Veech's Theorem. Finally a result is given which extends Veech's Theorem: for σ-compact groups the map g → gx is injective for all x G LUC on a set larger than G. © Springer 2006.