Regularity of operators on essential extensions of the compacts

Details Regularity of operators on essential extensions of the compacts Regularity of operators on essential extensions of the compacts

1999-06-28

arxiv.org/abs/math/9906186v1

Proc. Amer. Math. Soc., 128(2000), no. 9, 2649-2657

Mathematics

Operator Algebras

LaTeX2e, 13 pages, no figures, to appear in the Proceedings of the AMS

Scientific paper

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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