Abstract
The main purpose of this note is to give a simple example of a unitary representation of a (discrete) group, which cannot be decomposed as a topological direct integral of factor representations. But it is shown that the regular representation of any discrete group is a direct integral (on a compact space) of factor representations.
Original language | English |
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Pages (from-to) | 101-114 |
Number of pages | 14 |
Journal | Journal of Functional Analysis |
Volume | 31 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1979 |