Year: 2026
Type: article
Abstract: We introduce and study the noncommutative weak extension principle, a lifting principle that characterises * -homomorphisms between coronas of nonunital separable C * -algebras.While this principle fails if the continuum hypothesis is assumed, we show its validity under mild forcing axioms, namely, the open colouring axiom and Martin's axiom.Also, we introduce and study the notion of nonmeagre ideals in multipliers and coronas of noncommutative C * -algebras, generalising the usual notion of nonmeagre ideals in P(.)ގ
Source: Pacific Journal of Mathematics
Authors: Alessandro Vignati, Deniz Yilmaz
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4416020104
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