Tracial approximate divisibility and stable rank one
نویسندگان
چکیده
In this paper, we show that every separable simple tracially approximately divisible C ? $C^*$ -algebra has strict comparison, and it is either purely infinite or stable rank one. As a consequence, (non-unital) finite Z ${\cal Z}$ -stable
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2022
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12654