B. Tsirelson | Graded algebras and subproduct systems: dimension two | Recent works |
Boris Tsirelson,
"Graded algebras and subproduct systems: dimension two."
arXiv:0905.4418.
Available online (free of charge) from e-print archive (USA):
arXiv.org/abs/0905.4418/
or its Israeli mirror:
il.arXiv.org/abs/0905.4418/
A research eprint, 21 pages, bibl. 7 refs.
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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