Department of Mathematics
" On West Compactifications of Locally Compact Abelian Groups"
(LAKEHEAD UNIVERSITY, CANADA)
Abstract: It is known that, using an idea of T. T. West, the unit ball of L∞ [0, 1] can be identified as a compactification of Z. In this talk, we will generalize this result to any locally compact Abelian group G. Depending on the algebraic properties of G, we will construct a semigroup compactification as a certain compact sub semigroup of L∞ [0,1], which is a quotient of both the Eberlein compactification, Ge, and the weakly almost periodic compactification, Gw of G. The concrete structure of these compact quotients allows us to gain insight into known results by G. Brown, W. Moran, J. Pym and B. Bordbar, where for groups G = Z and G = Z∞q , it is proved that Gw contain uncountably many idempotents and the set of idempotents is not closed.
Date: Monday, March 7, 2016
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.