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Homology for operator algebras II: stable homology for non-self adjoint algebras.

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Homology for operator algebras II: stable homology for non-self adjoint algebras. / Power, Stephen C.

In: Journal of Functional Analysis, Vol. 135, No. 1, 10.01.1996, p. 233-269.

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Power, Stephen C. / Homology for operator algebras II: stable homology for non-self adjoint algebras. In: Journal of Functional Analysis. 1996 ; Vol. 135, No. 1. pp. 233-269.

Bibtex

@article{b2040d5d6118479e99263610929429c2,
title = "Homology for operator algebras II: stable homology for non-self adjoint algebras.",
abstract = "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.",
author = "Power, {Stephen C.}",
year = "1996",
month = jan,
day = "10",
doi = "10.1006/jfan.1996.0010",
language = "English",
volume = "135",
pages = "233--269",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "1",

}

RIS

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 -