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Hecke algebras associated with induced representations

Published in Comptes rendus mathématique. 2002, vol. 334, no. 1, p. 31-35
Abstract We define the Hecke von Neumann algebra L(G,H,σ) associated with a group G, a subgroup H and a unitary representation σ of H. We show that when σ is finite dimensional, L(G,H,σ) can be seen as a corner algebra of the tensor product of the group von Neumann algebra of a locally compact group and a matrix algebra.
Stable URL https://archive-ouverte.unige.ch/unige:12358
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Deposited on : 2010-11-08

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