Irreducible representations of the $C^{\ast }$-algebra generated by an $n$-normal operator
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- by John W. Bunce and James A. Deddens PDF
- Trans. Amer. Math. Soc. 171 (1972), 301-307 Request permission
Abstract:
For $A$ an $n$-normal operator on Hilbert space, we determine the irreducible representations of ${C^ \ast }(A)$, the ${C^ \ast }$-algebra generated by $A$ and the identity. For $A$ a binormal operator, we determine an explicit description of the topology on the space of unitary equivalence classes of irreducible representations of ${C^ \ast }(A)$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 171 (1972), 301-307
- MSC: Primary 46L05; Secondary 47B20
- DOI: https://doi.org/10.1090/S0002-9947-1972-0306930-0
- MathSciNet review: 0306930