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An analytic family of
uniformly bounded representations of a free product of
discrete groups
Janusz Wysoczański |
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Vol. 157 (1993), No. 2, 373–387
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Abstract |
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We construct for each
|z| < 1 a uniformly bounded representation πz of a free product group. The
correspondence z↦πz is proved to be analytic. The representations are irreducible if
the free product factors are infinite groups. On free groups they have as coefficients
block radial functions—gives thus a new series of representations. They can be made
unitary iff z ∈ |
Mathematical Subject Classification 2000
Primary: 22D12
Secondary: 05C05, 20E08
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Milestones
Received: 2 January 1991
Revised: 22 July 1991
Published: 1 February 1993
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Authors |
| Janusz Wysoczański | |
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