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Inheritance of divisibility forms a large subalgebra
Acta Mathematica Scientia ( IF 1.2 ) Pub Date : 2020-12-24 , DOI: 10.1007/s10473-021-0105-5
Qingzhai Fan , Xiaochun Fang , Xia Zhao

Let A be an infinite dimensional stably finite unital simple separable C*-algebra. Let B ⊂ A be a stably (centrally) large subalgebra in A such that B is m -almost divisible ( m -almost divisible, weakly ( m, n )-divisible). Then A is 2( m + 1)-almost divisible (weakly m -almost divisible, secondly weakly ( m, n )-divisible).

中文翻译:

可分性的继承形成一个大的子代数

设 A 是一个无限维稳定有限单位简单可分 C*-代数。设 B ⊂ A 是 A 中的一个稳定(中心)大子代数,使得 B 是 m -几乎可整除的( m -几乎可整除,弱 ( m, n ) - 可整除)。那么 A 是 2( m + 1) - 几乎可整除的(弱 m - 几乎可整除,其次是弱 ( m, n ) - 可整除)。
更新日期:2020-12-24
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