Relative positions of matroid algebras.

Power, Stephen C. (1999) Relative positions of matroid algebras. Journal of Functional Analysis, 165 (2). pp. 205-239. ISSN 0022-1236

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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(−).

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Journal of Functional Analysis
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14 Nov 2008 09:16
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21 Nov 2022 18:32