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

Abstract

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.

arXiv comment13 pages, 1 table

Cited by in corpus (6)

• Crossed products by endomorphisms and reduction of relations in relative Cuntz-Pimsner algebras
• Cuntz-Krieger uniqueness theorem for crossed products by Hilbert bimodules
• C*-algebras associated with reversible extensions of logistic maps
• Graphs of $C^{\ast }$-correspondences and Fell bundles
• On transfer operators for C*-dynamical systems
• C*-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras