Inclusion systems and amalgamated products of product systems
Inclusion systems and amalgamated products of product systems
复制标题
包含系统和产品系统的合并产品
DOI：
10.1142/s0219025710003924
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Mithun Mukherjee
中科院分区：
文献类型：
--
作者：
B. Bhat;Mithun Mukherjee
在这里，我们通过一对归一化单元推广了由Skeide引入的两个积系统的Skeide积的概念。这个新概念被称为积系的合并积，现在这种合并可以用压缩态射来完成。对于标准化单位，合并产品的指数（通过单位完成时）相加，但对于非标准化单位，该指数比总和大1。我们定义了包含系统，并将其用作索引计算的工具。预计这一概念还会有其他用途。
Here we generalize the concept of Skeide product, introduced by Skeide, of two product systems via a pair of normalized units. This new notion is called amalgamated product of product systems, and now the amalgamation can be done using contractive morphisms. Index of amalgamation product (when done through units) adds up for normalized units but for non-normalized units, the index is one more than the sum. We define inclusion systems and use it as a tool for index computations. It is expected that this notion will have other uses.