75 citations · 81 across the 2 of their papers we have counts for
2 papers
math.OA2003★ 75 cited
Spectral triples for AF C*-algebras and metrics on the Cantor set
Cristina Antonescu, Erik Christensen
An AF C*-algebra has a natural filtration as an increasing sequence of finite dimensional C*-algebras. We show that it is possible to construct a Dirac operator which relates to th…
math.OA2002★ 6 cited
Group C*-algebras, metrics and an operator theoretic inequality
Cristina Antonescu, Erik Christensen
On a discrete group G a length function may implement a spectral triple on the reduced group C*-algebra. Following A. Connes, the Dirac operator of the triple then can induce a met…