2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.OA2023★ 2 cited
The intersection of complemented submodules is not complemented
Koen van den Dungen, Bram Mesland, Adam Rennie
We show by (counter)example that the intersection of complemented submodules in a Hilbert -module is not necessarily complemented, answering an open question from [MR].
math.OA2004
The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. The proof is a…
math.OA2004
The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. In this setting it…