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Relative positions of matroid algebras.

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Relative positions of matroid algebras. / Power, Stephen C.
In: Journal of Functional Analysis, Vol. 165, No. 2, 10.07.1999, p. 205-239.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Power, SC 1999, 'Relative positions of matroid algebras.', Journal of Functional Analysis, vol. 165, no. 2, pp. 205-239. https://doi.org/10.1006/jfan.1999.3428

APA

Power, S. C. (1999). Relative positions of matroid algebras. Journal of Functional Analysis, 165(2), 205-239. https://doi.org/10.1006/jfan.1999.3428

Vancouver

Power SC. Relative positions of matroid algebras. Journal of Functional Analysis. 1999 Jul 10;165(2):205-239. doi: 10.1006/jfan.1999.3428

Author

Power, Stephen C. / Relative positions of matroid algebras. In: Journal of Functional Analysis. 1999 ; Vol. 165, No. 2. pp. 205-239.

Bibtex

@article{df436a340dcf49e2ac477c7b480573f4,
title = "Relative positions of matroid algebras.",
abstract = "A classification is given for regular positions DDD of Jones index 4 where -- EQUATION OMITTED -- is an even matroid algebra and where the individual summands have index 2. A similar classification is obtained for positions of direct sums of 2-symmetric algebras and, in the odd case, for the positions of sums of 2-symmetric C*-algebras in matroid C*-algebras. The approach relies on an analysis of intermediate non-self-adjoint operator algebras and the classifications are given in terms of K0 invariants, partial isometry homology, and scales in the composite invariant K0(−)H1(−).",
author = "Power, {Stephen C.}",
year = "1999",
month = jul,
day = "10",
doi = "10.1006/jfan.1999.3428",
language = "English",
volume = "165",
pages = "205--239",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Relative positions of matroid algebras.

AU - Power, Stephen C.

PY - 1999/7/10

Y1 - 1999/7/10

N2 - A classification is given for regular positions DDD of Jones index 4 where -- EQUATION OMITTED -- is an even matroid algebra and where the individual summands have index 2. A similar classification is obtained for positions of direct sums of 2-symmetric algebras and, in the odd case, for the positions of sums of 2-symmetric C*-algebras in matroid C*-algebras. The approach relies on an analysis of intermediate non-self-adjoint operator algebras and the classifications are given in terms of K0 invariants, partial isometry homology, and scales in the composite invariant K0(−)H1(−).

AB - A classification is given for regular positions DDD of Jones index 4 where -- EQUATION OMITTED -- is an even matroid algebra and where the individual summands have index 2. A similar classification is obtained for positions of direct sums of 2-symmetric algebras and, in the odd case, for the positions of sums of 2-symmetric C*-algebras in matroid C*-algebras. The approach relies on an analysis of intermediate non-self-adjoint operator algebras and the classifications are given in terms of K0 invariants, partial isometry homology, and scales in the composite invariant K0(−)H1(−).

U2 - 10.1006/jfan.1999.3428

DO - 10.1006/jfan.1999.3428

M3 - Journal article

VL - 165

SP - 205

EP - 239

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 2

ER -