A Tensor Product of Representations of Cuntz Algebras

被引：0
|
作者：
Katsunori Kawamura
机构：
[1] College of Science and Engineering Ritsumeikan University,
来源：
Letters in Mathematical Physics | 2007年 / 82卷
关键词：
47L55; 81T05; Tensor product; representations of Cuntz algebras; decomposition formula;
D O I：
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中图分类号：
学科分类号：
摘要：
We introduce a nonsymmetric and associative tensor product among representations of Cuntz algebras by using embeddings. Since the tensor product of permutative representations is also a permutative representation, the decomposition of such a tensor product is unique up to unitary equivalence. We show the decomposition formulae explicitly. As an application, we show properties of concrete endomorphisms.
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页码：91 / 104
页数：13
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