[Turkmath:7411] Bogazici Matematik Araştırma Seminerleri - ilan ekte

[ferit.ozturk at boun.edu.tr]

Geçmiþ/gelecek konuþmalar için:
http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405
Konuþmalar Ýngilizce yapýlmaktadýr.

-----------------------------------------------

Bogazici Mathematics Research Seminar

Idempotents in the Eberlein compactification of locally compact abelian groups

Elçim Elgün
University of Waterloo
PhD candidate

Date : Wednesday, January 5, 2011
Time: 14:00
Place: TB 250, Bogazici Universitesi

Abstract: The Eberlein Algebra E of a locally compact group G is defined to be 
the uniform closure of the Fourier-Stieltjes algebra of G. E(G) satisfies 
certain invariance properties, hence for any locally compact group G, 
Eberlein compactification G^E of G can be constructed as the spectrum 
of E(G). We proved that for any locally compact abelian G, G^E contains at
least
2^c idempotents. This is an indication of the complexity of the structure 
of the semigroup G^E. In this talk, we will study Z^E, the Eberlein 
compactification of (Z, +). We will construct a family of 2^c many idempotents 
in Z^E, which gives the exact cardinality of the lattice of idempotents in Z^E.

Tea and coffee will be served at 15:00
-------------- sonraki bölüm --------------
A non-text attachment was scrubbed...
Name: 010511ElcimElgun.pdf
Type: application/pdf
Size: 290478 bytes
Desc: kullan?lam?yor
URL: <http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/private/turkmath/attachments/20110103/00640863/attachment-0001.pdf>