- Title
- Further properties of the scale function on a totally disconnected group
- Creator
- Willis, George A.
- Relation
- Journal of Algebra Vol. 237, Issue 1, p. 142-164
- Publisher Link
- http://dx.doi.org/10.1006/jabr.2000.8584
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2001
- Description
- A new characterisation of the scale function on the locally compact group G is given. It is shown that for x in G the scale of x, s(x), is the minimum value attained by the index [xUx⁻¹ : xUx⁻¹ ∩ 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.
- Subject
- locally compact group; scale function; tidy subgroup; modular function; automorphism
- Identifier
- uon:1131
- Identifier
- http://hdl.handle.net/1959.13/26794
- Identifier
- ISSN:0021-8693
- Full Text
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