On nonselfadjoint operator algebras

Edward G. Effros, Zhong-Jin Ruan

Type: Article

Publication Date: 1990-01-01

Citations: 50

DOI: https://doi.org/10.1090/s0002-9939-1990-0986648-8

Abstract

The <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M"> <mml:semantics> <mml:mi>M</mml:mi> <mml:annotation encoding="application/x-tex">M</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-ideals in a (not necessarily self-adjoint) unital operator algebra are the closed two sided ideals containing a contractive relative identity. The spatial tensor product of unital operator algebras need not be a minimal matricial cross-norm tensor product.

Locations

Proceedings of the American Mathematical Society - View - PDF

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