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Abstract: Here we generalize the concept of spatial tensor product, introduced bySkeide, of two product systems via a pair of normalized units. This new notionis called amalgamated tensor product of product systems, and now theamalgamation can be done using a contractive morphism. Index of amalgamationproduct when done through units adds up for normalized units but fornon-normalized units, the index is one more than the sum. We define inclusionsystems and use it as a tool for index computations. It is expected that thisnotion will have other uses.



Author: B. V. Rajarama Bhat, Mithun Mukherjee

Source: https://arxiv.org/







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