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Anisotropic random walks on free products of cyclic groups, irreducible representations and idempotents of C * reg(G)

Published online by Cambridge University Press:  22 January 2016

Gabriella Kuhn
Gabriella Kuhn*
Affiliation:
Universita di Milano, Dipartimento di Matematica, “Federigo Enriques” 20133 Milano, Italia
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Let be the free product of q + 1 copies of Zn+1 and let denote its Cayley graph (with respect to aj , 1 ≤ j ≤ q + 1). We may think of G as a group acting on the “homogeneous space” , This point of view is inspired by the case of SL2(R) acting on the hyperbolic disk and is developed in [FT-P] [I-P] [FT-S] [S] (but see also [C]).

Since G is a group we may investigate some classical topics: the full (reductive) C* algebra, its dual space, the regular Von Neumann algebra and so on. See [B] [P] [L] [V] and also [H]. These approaches give results pointing up the analogy between harmonic analysis on these groups and harmonic analysis on more classical objects.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 128 , December 1992 , pp. 95 - 120
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

References

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