Pimsner algebras and circle bundles
Francesca Arici, Francesco D'Andrea, Giovanni Landi
TL;DR
This paper explores the relationships between noncommutative principal circle bundles, Pimsner algebras, and strongly graded algebras, illustrating their connections through examples like quantum spaces and deformations.
Contribution
It establishes new links between noncommutative geometry structures and algebraic frameworks, with detailed examples of quantum spaces and deformations.
Findings
Connections between noncommutative bundles and Pimsner algebras clarified
Examples include quantum weighted projective and lens spaces
Results demonstrate the applicability to theta-deformations
Abstract
We report on the connections between noncommutative principal circle bundles, Pimsner algebras and strongly graded algebras. We illustrate several results with the examples of quantum weighted projective and lens spaces and theta-deformations.
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