Operator algebras associated to integral domains

Details Operator algebras associated to integral domains Operator algebras associated to integral domains

2010-01-05

arxiv.org/abs/1001.0730v1

Mathematics

Operator Algebras

11 pages

Scientific paper

We study operator algebras associated to integral domains. In particular, with respect to a set of natural identities we look at the possible nonselfadjoint operator algebras which encode the ring structure of an integral domain. We show that these algebras give a new class of examples of semicrossed products by discrete semigroups. We investigate the structure of these algebras together with a particular class of representations.

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