论文标题
在单调上$ c^*$ - 代数
On the monotone $C^*$-algebra
论文作者
论文摘要
混凝土单调$ c^*$ - 代数,即由单调独立代数随机变量(unital)$ c^*$ - 伯努利类型的代数,以发电机和关系为抽象地表征,并且被证明是UHF。此外,明确给出了其Bratteli图,这允许计算其$ K $ - 理论。
The concrete monotone $C^*$-algebra, that is the (unital) $C^*$-algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly in terms of generators and relations and is shown to be UHF. Moreover, its Bratteli diagram is explicitly given, which allows for the computation of its $K$-theory.