NEW HOLOMORPHICALLY CLOSED SUBALGEBRAS OF C*-ALGEBRAS OF HYPERBOLIC GROUPS

作者：Puschnigg Michael^*

来源：Geometric and Functional Analysis, 2010, 20(1): 243-259.

DOI：10.1007/s00039-010-0062-y

• Holomorphically closed subalgebra
• unconditional completion
• hyperbolic group
• group C*-algebra
• delocalized L(2)-invariants
• cyclic cohomology

We present a new construction of dense, isospectral subalgebras of unconditional Banach algebras over word-hyperbolic groups. We study the algebras thus obtained and derive applications to delocalized L(2)-invariants of closed Riemannian manifolds of negative curvature and to the local cyclic cohomology of the reduced group C*-algebras of word-hyperbolic groups.

• 出版日期2010-6