Wednesday, May 30, 2012 — 4:30 PM to 5:30 PM EDT

Elcim Elgun, Pure Mathematics Department, University of Waterloo

"The Construction a West Compactication of Z"

Abstract: Given a locally compact group G, a compact semigroup S is called a semigroup compactication if it contains a dense homomorphic image of G. We study the question of extending continuous bounded functions on G to its various semigroup compactications. In particular we are interested in the largest semigroup compactication of G associated with unitary representations, which we will denote by Ge.
In this talk we will restrict our attention to Z. Our aim is to construct a compact subsemigroup of L1[0; 1] as a closure of Z. The construction depends on an idea of West, which implies that this semigroup is a quotient of Ze. This is a strong indication of the algebraic and topological complexity of Ze.

S M T W T F S
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
1
2
3
4
  1. 2023 (35)
    1. February (8)
    2. January (27)
  2. 2022 (179)
    1. December (8)
    2. November (31)
    3. October (24)
    4. September (17)
    5. August (9)
    6. July (15)
    7. June (14)
    8. May (13)
    9. April (14)
    10. March (15)
    11. February (12)
    12. January (7)
  3. 2021 (135)
  4. 2020 (103)
  5. 2019 (199)
  6. 2018 (212)
  7. 2017 (281)
  8. 2016 (335)
  9. 2015 (211)
  10. 2014 (235)
  11. 2013 (251)
  12. 2012 (135)