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math.OA2026
Proximality and selflessness for group C*-algebras
Narutaka Ozawa
We prove that the reduced group C*-algebras of infinite countable discrete groups having topologically-free extreme boundaries, or more generally groups that satisfy certain combin…
math.OA2025
Contractibility of the automorphism group of a von Neumann algebra
Narutaka Ozawa
We prove that the approximately inner automorphism group of a separable strongly stable von Neumann algebra is contractible in the u-topology. Thus the automorphism group of the hy…
math.OA2024
Embeddings of matrix algebras into uniform Roe algebras and quasi-local algebras
Narutaka Ozawa
We answer the recent problem posed by Baudier, Braga, Farah, Vignati, and Willett that asks whether the -direct sum of the matrix algebras embeds into the uniform Roe…