论文标题
全体形函数代数的连续变形在非共同球的亚变量上
Continuous Deformations of Algebras of Holomorphic Functions on Subvarieties of a Noncommutative Ball
论文作者
论文摘要
我们提出了一种构造连续Banach束的通用方法，其纤维是封闭非交通球的亚变量的骨膜功能的代数。 These algebras are of the form $\mathcal{A}_d/I_x$, where $\mathcal{A}_d$ is the noncommutative disk algebra introduced by G. Popescu, and $I_x$ is a graded ideal in $\mathcal{ A}_d$, which depends continuously on the point $x$ of the topological space $X$.同样，我们在代数$ \ mathcal {f} _d/i_x $ holomorphic函数的子变量的子变量上构建了纤维同构的捆绑包。这里$ \ mathcal {f} _d $是单位球上免费的全态功能的代数，G。popescu也引入了$ i_x $是$ \ mathcal {f} _d $中的理想的划分理想，它连续取决于$ x $ x $ x $ x $ x $ x $ x $ x $ x $ x $。
We propose a general method for constructing continuous Banach bundles whose fibers are algebras of holomorphic functions on subvarieties of a closed noncommutative ball. These algebras are of the form $\mathcal{A}_d/I_x$, where $\mathcal{A}_d$ is the noncommutative disk algebra introduced by G. Popescu, and $I_x$ is a graded ideal in $\mathcal{ A}_d$, which depends continuously on the point $x$ of the topological space $X$. Similarly, we construct bundles with fibers isomorphic to the algebras $\mathcal{F}_d/I_x$ of holomorphic functions on subvarieties of an open noncommutative ball. Here $\mathcal{F}_d$ is the algebra of free holomorphic functions on the unit ball, which was also introduced by G. Popescu, and $I_x$ is a graded ideal in $\mathcal{F}_d$, which depends continuously on the point $x$ of the topological space $X$.
