VU1
CONTENTS
3.5. Positive definite presentations and completely positive
opresentations of hypergroups 38
3.6. The spectral subspaces of a presentation of a hyper-
group 41
3.7. Quantized positive-definite presentations and opresen-
tations of hypergroups 44
3.8. Completely positive instruments with values in K and
their characteristic functions 49
3.9. Completely positive hypergroup actions and opactions 52
Chapter 4. Some Concrete Presentations and Actions of Hy-
pergroups 55
4.1. Presentations and opresentations arising from the left
regular representation 55
4.2. The situation in 2-fold absolutely continuous hyper-
groups 56
4.3. Amenability for hypergroups 56
4.4. Folner hypergroups 57
4.5. Isometry condition on A(fx) 59
4.6. Actions and opactions arising from the left regular rep-
resentation 60
4.7. The special case X =
L2(K)
= X* 60
References 64
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