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arXiv · 0907.0095

Inclusion systems and amalgamated products of product systems

B. V. Rajarama Bhat·Mithun Mukherjee
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Abstract

Here we generalize the concept of spatial tensor product, introduced by Skeide, of two product systems via a pair of normalized units. This new notion is called amalgamated tensor product of product systems, and now the amalgamation can be done using a contractive morphism. 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.

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B. V. Rajarama Bhat, Mithun Mukherjee. 2010-03-23. Inclusion systems and amalgamated products of product systems. https://doi.org/10.1142/s0219025710003924

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