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Equivariant extensi...
Equivariant extensions of *-algebras
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- Goffeng, Magnus C H T, 1987 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- 2010
- 2010
- English.
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In: New York Journal of Mathematics. ; 16
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Equivariant extension theory
- abstract Toeplitz operators
- Equivariant extension theory
Publication and Content Type
- ref (subject category)
- art (subject category)
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