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Free *-subalgebras of C*-algebras

โœ Scribed by A.Y. Samet-Vaillant

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
179 KB
Volume
171
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

The aim of this work is to study the existence of free *-subalgebras in C*algebras. The Kurosh Levitzky Problem and related conjectures of Makar-Limanov are answered in the context of C*-algebras. In particular, we characterize and study the existence of free non-Abelian *-subalgebras with two self-adjoint contractions in finitely-generated C*-algebras. C*-algebras having linear growth are shown to be subhomogeneous.

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