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arxiv: 0704.3811 · v1 · submitted 2007-04-29 · 🧮 math.OA · math.FA

Relative Cuntz-Pimsner Algebras, Partial Isometric Crossed Products and Reduction of Relations

classification 🧮 math.OA math.FA
keywords crossedcuntz-pimsnerproductsreductionrelativealgebrasbimodulehilbert
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The article discusses the interrelation between relative Cuntz-Pimsner algebras and partial isometric crossed products, and presents a procedure that reduces any given Hilbert bimodule to the "smallest" Hilbert bimodule yielding the same relative Cuntz-Pimsner algebra as the initial one. In the context of crossed products this reduction procedure corresponds to reduction of C*-dynamical systems.

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