m at h . O A ] 3 1 A ug 1 99 8 RELATIVE POSITIONS OF MATROID ALGEBRAS
نویسنده
چکیده
A classification is given for regular positions D ⊕ D ⊆ D of Jones index 4 where D = alg lim −→ M n k (C) is an even matroid algebra and where the individual sum-mands 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 invari-ants, partial isometry homology and scales in the composite invariant K 0 (−) ⊕ H 1 (−).
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