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Monogenic inverse semigroups and their C* -algebras

Published online by Cambridge University Press:  14 November 2011

J. B. Conway ,
J. Duncan  and
A. L. T. Paterson
J. B. Conway
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405, U.S.A.
J. Duncan
Affiliation:
Indiana University and Department of Mathematics, University of Stirling
A. L. T. Paterson
Affiliation:
Department of Mathematics, University of Aberdeen
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Synopsis

By using the Halmos-Wallen description of power partial isometries on Hilbert space, we give a complete description of all monogenic inverse semigroups,ℐ. We also describe the full C*-algebra C*ℐ and the reduced C*-algebra C*(ℐ) with particular emphasis on the case of the free monogenic inverse semigroupℑℐt.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 1-2 , 1984 , pp. 13 - 24
Copyright
Copyright © Royal Society of Edinburgh 1984

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