Operator algebras associated to integral domains

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Publication:374048

zbMATH Open1294.47097arXiv1001.0730MaRDI QIDQ374048

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Publication date: 25 October 2013

Published in: (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/1001.0730

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