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ABELIAN C$^*$-ALGEBRAS WHICH ARE INDEPENDENT WITH RESPECT TO A FILTER

Published online by Cambridge University Press:  24 May 2005

MARIUS MĂNTOIU
MARIUS MĂNTOIU
Affiliation:
Institute of Mathematics Simion Stoilow, Romanian Academy, PO Box 1-764, Bucarest RO-014700, Romaniamarius.mantoiu@imar.ro
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Abstract

Extensions of the concept of asymptotic independence which are useful in the study of abelian C$^*$-algebras generated by the union of two of their C$^*$-subalgebras are examined. Non-trivial examples are also given in terms of classes of bounded continuous functions defined on a locally compact group.

Keywords

46J1043A60 (primary)35P05 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 740 - 758
Copyright
The London Mathematical Society 2005

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Footnotes

This work was partially supported by the Romanian Ministry of Education and Research under contract 15.3/2001 CERES-Programme.