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math.OA2019★ 4 cited
Toeplitz extensions in noncommutative topology and mathematical physics
Francesca Arici, Bram Mesland
We review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov's bivariant K-theory. We then discuss the recent applications of Toeplitz algebr…
math.OA2019
Curvature of differentiable Hilbert modules and Kasparov modules
Bram Mesland, Adam Rennie, Walter D. van Suijlekom
In this paper we introduce the curvature of densely defined universal connections on Hilbert -modules relative to a spectral triple (or unbounded Kasparov module), obtaining…