RT journal article
T1 Simple Cuntz-Pimsner rings
A1 Carlsen, T.M.
A1 Ortega, E.
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Cuntz–Pimsner rings
K1 Simplicity
K1 Invariant cycles
K1 Condition (L)
K1 Cuntz–Krieger uniqueness
K1 Toeplitz rings
K1 Leavitt path algebras
K1 Crossed products
K1 Fractional skew monoid rings
AB Necessary and sufficient conditions for when every non-zero ideal in a relative Cuntz–Pimsner ring contains a non-zero graded ideal, when a relative Cuntz–Pimsner ring is simple, and when every ideal in a relative Cuntz–Pimsner ring is graded, are given. A “Cuntz–Krieger uniqueness theorem” for relative Cuntz–Pimsner rings is also given and condition (L) and condition (K) for relative Cuntz–Pimsner rings are introduced.As applications of these results, a uniqueness result for the Toeplitz algebra of a directed graph and characterizations of when crossed products of a ring by a single automorphism and fractional skew monoid rings of a single corner isomorphism are simple, are obtained.
SN 0021-8693
YR 2012
FD 2012-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16100
UL http://hdl.handle.net/10498/16100
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026