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Generalized Berezin Transform and Commutator Ideals

Kenneth R. Davidson·Ronald G. Douglas
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Abstract

For a quasi-free module over a function algebra $A(Ω)$, we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the commutator ideal.

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Kenneth R. Davidson, Ronald G. Douglas. 2004-01-30. Generalized Berezin Transform and Commutator Ideals. https://arxiv.org/abs/math/0401442

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