Mathematics – Operator Algebras
Scientific paper
2007-04-29
Mathematics
Operator Algebras
13 pages, 1 table
Scientific paper
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.
Kwasniewski B. K.
Lebedev Alexander V.
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