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September 21 Math Colloquium

Oleg Smirnov, CofC

Context-Equivalence for Algebras with Involutions

Morita equivalence is the central concept of celebrated Morita theory. Two algebras are Morita equivalent if their categories of modules are equivalent.
 
A Morita context is a useful technical concept that allows one to establish Morita equivalence. Based on this concept B. Muller introduced the notion of context-equivalence in 1972.  Later S. A. Amitsur showed that although this equivalence is coarser than Morita equivalence, many algebraic properties are  invariant relative to this new equivalence.
 
In this talk we will  we will present a version of context-equivalence suitable for the category of algebras with involution. The main result is a criterion of context-equivalence.

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