Prime non-commutative JB*-algebras

Authors
El Amin, K Campoy, AM Palacios, AR
Citation
K. El Amin et al., Prime non-commutative JB*-algebras, B LOND MATH, 32, 2000, pp. 703-708
Citations number
14
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
32
Year of publication
2000
Part
6
Pages
703 - 708
Database
ISI
SICI code
0024-6093(200011)32:<703:PNJ>2.0.ZU;2-J
Abstract
We prove that if A is a prime non-commutative JB*-algebra which is neither quadratic nor commutative, then there exist a prime C*-algebra B and a real number lambda with 1/2 < <lambda> less than or equal to 1 such that A = B as involutive Banach spaces, and the product of A is related to that of B ( denoted by o, say) by means of the equality xy = lambdax o y + (1 - lambda )y o x.