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On the uniqueness of operator algebra structures
Journal article   Peer reviewed

On the uniqueness of operator algebra structures

P Muhly and B Solel
Indiana University mathematics journal, Vol.46(2), pp.575-591
1997
DOI: 10.1512/iumj.1997.46.1182

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Abstract

The primary objective of this note is to identify those parital orders P on a finite set that have the property that the associated incidence algebra A(P) has a unique operator algebra structure. This result is then extended to the context of limit algebras. CSL algebras, and subalgebras of groupoid von Neumann algebras.

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