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Further Properties of the Scale Function on a Totally Disconnected Group

โœ Scribed by George A Willis

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
167 KB
Volume
237
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

A new characterisation of the scale function on the locally compact group G is ลฝ . given. It is shown that for x in G the scale of x, s x , is the minimum value w y1 y1

x attained by the index xUx : xUx l U as U ranges over all compact open subgroups of G. The properties of the scale function when passing to subgroups and quotient groups of G and under increasing unions of groups are also described.

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