## “School of Mathematics”

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Paper   IPM / M / 16539
 School of Mathematics Title: Unbounded operator algebras Author(s): Mohammad Bagher Asadi (Joint with Z. Hassanpour and S. Shamloo) Status: To Appear Journal: Ann. Funct. Anal. Supported by: IPM
Abstract:
In this paper, we introduce the notion of abstract local operator algebras, operator modules and provide a representation theorem for them which extends the BRS theorem for operator algebras. Furthermore, we give a new proof for the representation theorem of local operator systems. Also, we investigate the Haagerup tensor product of local operator spaces and Morita equivalence of local operator algebras.