Premium
Abelian C * ‐Algebras which are Independent with Respect to a Filter
Author(s) -
Măntoiu Marius
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705006502
Subject(s) - abelian group , bounded function , mathematics , independence (probability theory) , pure mathematics , filter (signal processing) , locally compact space , elementary abelian group , algebra over a field , discrete mathematics , computer science , mathematical analysis , statistics , computer vision
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.