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SUMMARY:Two two categories of algebras and corresponding categories of coa
 lgebras and their relationship with measuring coalgebras and comodules. - 
 Marjorie Batchelor
DTSTART:20170705T140000Z
DTEND:20170705T150000Z
UID:TALK73209@talks.cam.ac.uk
CONTACT:7277
DESCRIPTION:The universal measuring coalgebras has been used for over thir
 ty years to provide a context for linear maps between algebras which are n
 ot algebra homomorphisms but still in some sense preserve the bilinear str
 ucture of the algebra\, such as derivations.  The two categories F˙ and F
 .of algebras introduced here offer an alternative context for such structu
 re preserving maps. The universal measuring coalgebra is recovered as a li
 mit of the category of morphisms F.(A\,B).  Furthermore\, the cofinite dua
 l of the the corresponding limit for the category F˙(A\,B) is the univers
 al measuring coalgebra P(A\,B).  This facilitates calculation of P(A\,B). 
 I will describe applications to number fields and Dirac operators.
LOCATION:MR12
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