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Relative Positions of Matroid Algebras

โœ Scribed by S.C. Power

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
327 KB
Volume
165
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

A classification is given for regular positions D ร„ D D of Jones index 4 where D=alg lim wwร„ M nk (C) 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 K 0 invariants, partial isometry homology, and scales in the composite invariant K 0 (&) ร„H 1 (&).

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