Journal article
On the Classification of p-Adic UHF Banach Algebras
P-adic numbers, ultrametric analysis, and applications, Vol.10(3), pp.166-178
08/03/2018
DOI: 10.1134/S2070046618030020
Abstract
For any prime number
p
let Ω
p
be the
p
-adic counterpart of the complex numbers
C
. In this paper we investigate the class of
p
-
adic UHF Banach algebras
. A
p
-adic UHF Banach algebra is any unital
p
-adic Banach algebra
A
of the form
A
=
U
M
n
¯
, where (M
n
) is an increasing sequence of
p
-adic Banach subalgebras of M such that each M
n
is generated over Ω
p
by an algebraic system of matrix units {
e
ij
(
n
)
| 1 ≤
i
,
j
≤
p
n
}. The main result is that the supernatural number associated to a
p
-adic TUHF Banach algebra is an invariant of the algebra.
Details
- Title: Subtitle
- On the Classification of p-Adic UHF Banach Algebras
- Creators
- R. L Baker - University of Iowa
- Resource Type
- Journal article
- Publication Details
- P-adic numbers, ultrametric analysis, and applications, Vol.10(3), pp.166-178
- Publisher
- Pleiades Publishing
- DOI
- 10.1134/S2070046618030020
- ISSN
- 2070-0466
- eISSN
- 2070-0474
- Language
- English
- Date published
- 08/03/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984241053602771
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