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UNIFORMLY T2 ALGEBRAS IN APPROXIMATELY FINITE-DIMENSIONAL C*-ALGEBRAS

Published online by Cambridge University Press:  01 February 1997

DAVID HEFFERNAN
DAVID HEFFERNAN
Affiliation:
Orcina Limited, North Lonsdale Road Industrial Estate, Ulverston, Cumbria LA12 9DL, UK
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Abstract

There is extensive literature concerning approximately finite-dimensional (AF) C*-algebras. For example see [1, 5]. In recent years study has focused on non-self-adjoint subalgebras of AF C*-algebras ([4, 8, 9], for example) and this paper continues that theme. We define T(m, n) to be the block upper triangular subalgebra of Mm+n with self-adjoint part equal to Mm [oplus ] Mn. The class of algebras that are considered here are norm closures of ascending chains of algebras of the form T(m, n) and are referred to as uniformly T2 algebras. This class of algebras properly contains the matroid C*-algebras of Dixmier.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 181 - 192
Copyright
The London Mathematical Society 1997

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