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Regularity of operators on essential extensions of the compacts

Arupkumar Pal
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Abstract

A semiregular operator on a Hilbert C^*-module, or equivalently, on the C^*-algebra of `compact' operators on it, is a closable densely defined operator whose adjoint is also densely defined. It is shown that for operators on extensions of compacts by unital or abelian C^*-algebras, semiregularity leads to regularity. Two examples coming from quantum groups are discussed.

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Arupkumar Pal. 1999-06-28. Regularity of operators on essential extensions of the compacts. https://arxiv.org/abs/math/9906186

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