Certain invariants of extension algebras of C(mathbbT2)C({mathbb{T}}^{2})

摘要

In this paper, we compute certain invariants of extension algebras of the torus algebra C(mathbbT2)C({mathbb{T}}^{2}) by K{mathcal{K}}, where K{mathcal{K}} is the C*-algebra of compact operators on an infinite dimensional separable Hilbert space H. These extension algebras are also constructed up to isomorphism.