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A groupoid approach to C*-algebras
Jean Renault
- 01 Jan 1980
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About: The article was published on 01 Jan 1980. and is currently open access. The article focuses on the topics: Groupoid algebra & Double groupoid.
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Citations
Self-similar k-Graph C*-Algebras
Hui Li,Dilian Yang +1 more
TL;DR: In this article, a self-similar action of a group $G$ on a k-graph was introduced and associated with a universal C*-algebra, which can be realized as the Cuntz-Pimsner algebra of a product system.
20
Chain conditions on étale groupoid algebras with applications to leavitt path algebras and inverse semigroup algebras
TL;DR: In this paper, the authors characterize when a commutative ring with unit and etale groupoid with locally compact, Hausdorff and totally disconnected unit space is Noetherian and when it is Artinian.
20
Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems
TL;DR: In this article, the authors show that the algebraic partial action used to describe an ultragraph Leavitt path algebra as a partial skew group ring is equivalent to a dual of a topological partial action.
20
Semigroupoid C⁎-algebras
TL;DR: In this paper, a semigroupoid is defined as a set equipped with a partially defined associative operation, and a C ⁎ -algebra O( Λ ) is constructed from it.
20
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Semi etale groupoids and applications
TL;DR: In this paper, a class of locally compact Hausdorff groupoids is introduced and the authors show how to associate C *-algebras to them in a way which generalizes the reduced C*-algebra of an 'etale groupoid.
20