STABLE APPROXIMATE UNITARY EQUIVALENCE OF HOMOMORPHISMS

By Huaxin Lin. 2002

62 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7b8a5386ea131e4a49d6cd2bf865058307ed3473

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

STRUCTURE OF NUCLEAR C*-ALGEBRAS: FROM QUASIDIAGONALITY TO CLASSIFICATION AND BACK AGAIN (2017, unknown): “Huaxin Lin (2002).”
Subalgebras of simple AF-algebras (2018, methodology): “Together with a uniqueness result for approximately multiplicative maps from A to B relying on a Weyl-von Neumann type theorem for Hilbert module representations as in [49] or [21] and using the tracial approximation structure of B, an intertwining argument allows one to construct *-homomorphisms fr”
A classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras, I: $C^*$-algebras with generalized tracial rank one. (2018, background): “These efforts became the engine for these rapid developments ([55], [51], [60] and [16] for example).”
The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension (2016, background): “5 of [9] (see an earlier version in [31]).”
Quasidiagonality of nuclear C*-algebras (2015, methodology): “Our argument also has a classification component (albeit of a more basic sort), namely through the stable uniqueness technology introduced by Lin in [43, 45], (we use the version of Dadarlat and Eilers in [21]), of which more is said below.”
Asymptotic Unitary Equivalence in KK-Theory (2001, methodology): “Lin [Lin97] showed that if ι : A→B is a unital embedding, if A is nuclear, and either A or B is simple, then the map dι : A−→M(K(H) ⊗ B) defined by dι(a) = 1 ⊗ ι(a) is absorbing.”
On the classification of simple amenable C*-algebras with finite decomposition rank (2015, background): “Recall the tracial approximate uniqueness result of [6] and [16].”