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C*-Algebras of Multivariable Wiener-Hopf Operators
Journal article   Peer reviewed

C*-Algebras of Multivariable Wiener-Hopf Operators

Paul S Muhly and Jean N Renault
Transactions of the American Mathematical Society, Vol.274(1), p.1
11/1982
DOI: 10.2307/1999493

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Abstract

The C*-algebra SB generated by the Wiener-Hopf operators defined over a subsemigroup of a locally compact group is shown to be the image of a groupoid C*-algebra under a suitable representation. When the subsemigroup is either a polyhedral cone or a homogeneous, self-dual cone in an Euclidean space, this representation may be used to show that SB is postliminal and to find a composition series with very explicit subquotients. This yields a concrete parameterization of the spectrum of SB and exhibits the topology on it.

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