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arXiv · 1207.1300

The Noncommutative Choquet Boundary of Periodic Weighted Shifts

Martín Argerami·Douglas Farenick
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Abstract

The noncommutative Choquet boundary and the C*-envelope of operator systems of the form Span{1,T,T*}, where T is a Hilbert space operator with normal-like features, are studied. Such operators include normal operators, k-normal operators, subnormal operators, and Toeplitz operators. Our main result is the determination of the noncommutative Choquet boundary for an operator system generated by an irreducible periodic weighted unilateral shift operator.

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Martín Argerami, Douglas Farenick. 2012-07-05. The Noncommutative Choquet Boundary of Periodic Weighted Shifts. https://arxiv.org/abs/1207.1300

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