75 citations · 81 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
Hochschild Cohomology of Factors with Property
Erik Christensen, Florin Pop, Allan Sinclair +1
The main result of this paper is that the k^{\rm th} continuous Hochschild cohomology groups H^k(\cl M,\cl M) and H^k(\cl M,B(H)) of a von Neumann factor ${\cl M}\subseteq B(H) of…
Finite von Neumann algebra factors with property Gamma
Erik Christensen
Techniques introduced by G. Pisier in his proof that finite von Neumann factors with property gamma have length at most 5 are modified to prove that the length is 3. It is proved t…