Dense quasi-free subalgebras of the Toeplitz algebra

Abstract

We introduce a family of dense subalgebras of the Toeplitz algebra and give conditions under which our algebras are quasi-free. As a corollary, we show that the smooth Toeplitz algebra introduced by Cuntz is quasi-free.

16 pages

References in corpus (3)

• Lectures on Noncommutative Geometry
• Embeddings of derived categories of bornological modules
• Non-Archimedean analytic geometry as relative algebraic geometry