Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Homology for operator algebras II: stable homology for non-self adjoint algebras.
AU - Power, Stephen C.
PY - 1996/1/10
Y1 - 1996/1/10
N2 - New homology groups are defined for a non-self-adjoint operator algebra with a distinguished masa which is based upon cycles and boundaries associated with complexes of partial isometries in the stable algebra. Under natural hypotheses the zeroth order group coincides with theK0group of the generatedC*-algebra. Several identifications and applications are given, and in particular it is shown how stable homology is significant for the classification of regular subalgebras and regular limit algebras.
AB - New homology groups are defined for a non-self-adjoint operator algebra with a distinguished masa which is based upon cycles and boundaries associated with complexes of partial isometries in the stable algebra. Under natural hypotheses the zeroth order group coincides with theK0group of the generatedC*-algebra. Several identifications and applications are given, and in particular it is shown how stable homology is significant for the classification of regular subalgebras and regular limit algebras.
U2 - 10.1006/jfan.1996.0010
DO - 10.1006/jfan.1996.0010
M3 - Journal article
VL - 135
SP - 233
EP - 269
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 1
ER -