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• # Artykuł - szczegóły

## Studia Mathematica

2014 | 223 | 2 | 97-121

## Dual spaces and translation invariant means on group von Neumann algebras

EN

### Abstrakty

EN
Let G be a locally compact group. Its dual space, G*, is the set of all extreme points of the set of normalized continuous positive definite functions of G. In the early 1970s, Granirer and Rudin proved independently that if G is amenable as discrete, then G is discrete if and only if all the translation invariant means on $L^{∞}(G)$ are topologically invariant. In this paper, we define and study G*-translation operators on VN(G) via G* and investigate the problem of the existence of G*-translation invariant means on VN(G) which are not topologically invariant. The general properties of G* are also investigated.

97-121

wydano
2014

### Twórcy

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada