# Wydawnictwa / Czasopisma IMPAN / Dissertationes Mathematicae / Wszystkie zeszyty

## Second duals of measure algebras

### Tom 481 / 2011

Dissertationes Mathematicae 481 (2011), 1-121 MSC: Primary 43A10, 43A20; Secondary 46J10. DOI: 10.4064/dm481-0-1

#### Streszczenie


We shall study the $C^*$-algebra $B^{b}(\Omega)$ of bounded Borel functions on $\Omega$, and we shall determine the exact cardinality of a variety of subsets of $\newcommand{\WO}{\widetilde\Omega}\WO$ that are associated with $B^{b}(\Omega)$.


We shall show that the spectrum of the $C^*$-algebra $L^\infty(G)$ is determining for the left topological centre of $L^1(G)''$, and we shall discuss the topological centre of the algebra $(M(G)'',\newcommand {\B}{\mathbin{\Box}} \B)$.

#### Autorzy

• H. G. DalesDepartment of Mathematics and Statistics
Fylde College
University of Lancaster
Lancaster LA1 4YF, United Kingdom
e-mail
• A. T.-M. LauDepartment of Mathematical and Statistical Sciences
University of Alberta
Edmonton