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Equivariant extensions of *-algebras

Magnus Goffeng (Institutionen för matematiska vetenskaper, matematik)
New York Journal of Mathematics Vol. 16 (2010), p. 17.
[Artikel, refereegranskad vetenskaplig]

A bivariant functor is defined on a category of *-algebras and a category of operator ideals, both with actions of a second countable group G, into the category of abelian monoids. The elements of the bivariant functor will be G-equivariant extensions of a *-algebra by an operator ideal under a suitable equivalence relation. The functor is related with the ordinary Ext-functor for C^*-algebras defined by Brown-Douglas-Fillmore. Invertibility in this monoid is studied and characterized in terms of Toeplitz operators with abstract symbol.

Nyckelord: Equivariant extension theory, abstract Toeplitz operators



Denna post skapades 2011-01-10.
CPL Pubid: 132718

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys
Algebra och geometri

Chalmers infrastruktur