73 citations · 230 across the 14 of their papers we have counts for
15 papers
Endomorphisms of Z-absorbing C*-algebras without conditional expectations
Yasuhiko Sato
We construct an endomorphism of the Jiang-Su algebra which does not admit a conditional expectation. This answers a question in the testamentary homework by E. Kirchb…
Rationally AF algebras and KMS states of Z-absorbing C*-algebras
George A. Elliott, Yasuhiko Sato
In order to realize all possible KMS-bundles on the Jiang-Su algebra, we introduce a class of C*-algebras which we call rationally approximately finite dimensional (RAF). Using the…
On the bundle of KMS state spaces for flows on a Z-absorbing C*-algebra
George A. Elliott, Yasuhiko Sato, Klaus Thomsen
We obtain three results: 1) Every compact simplex bundle with exactly one point in the fiber over 0 is the KMS bundle of a periodic flow on the Jiang-Su algebra. 2) Let A be a sepa…
2-positive almost order zero maps and decomposition rank
Yasuhiko Sato
We consider 2-positive almost order zero (disjointness preserving) maps on C*-algebras. Generalizing the argument of M. Choi for multiplicative domains, we give an internal charact…
Actions of amenable groups and crossed products of Z-absorbing C*-algebras
Yasuhiko Sato
We study actions of countable discrete amenable groups on unital separable simple nuclear Z-absorbing C*-algebras. Under a certain assumption on tracial states, which is automatica…
Covering dimension of C*-algebras and 2-coloured classification
Joan Bosa, Nathanial P. Brown, Yasuhiko Sato +3
We introduce the concept of finitely coloured equivalence for unital *-homomorphisms between C*-algebras, for which unitary equivalence is the 1-coloured case. We use this notion t…