A non-commutative Banach algebra whose maximal commutative subalgebras are all mutually isomorphic
Volume 146 / 2017
Colloquium Mathematicum 146 (2017), 47-51
MSC: Primary 46H05; Secondary 46H10; 47L10.
DOI: 10.4064/cm6811-2-2016
Published online: 15 July 2016
Abstract
The algebra as in the title is constructed as a quotient of the semigroup algebra of the discrete free semigroup with a countable set of generators.