Graded algebras and subproduct systems: dimension two

Mathematics – Rings and Algebras

Scientific paper

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21 pages

Scientific paper

Objects dual to graded algebras are subproduct systems of linear spaces, a
purely algebraic counterpart of a notion introduced recently in the context of
noncommutative dynamics (Shalit and Solel, Bhat and Mukherjee). A complete
classification of these objects in the lowest nontrivial dimension is given in
this work, triggered by a question of Bhat.

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