Zobrazeno 1 - 10
of 361
pro vyhledávání: '"Lin, Huaxin"'
Autor:
Lin, Huaxin
Let $H$ be an infinite dimensional separable Hilbert space and $B(H)$ the C*-algebra of bounded operators on $H.$ Suppose that $T_1,T_2,..., T_n$ are self-adjoint operators in $B(H).$ We show that, if commutators $[T_i, T_j]$ are sufficiently small i
Externí odkaz:
http://arxiv.org/abs/2402.12609
Autor:
Lin, Huaxin
We study the problem when an almost commuting $n$-tuple self-adjoint operators in an infinite dimensional separable Hilbert space $H$ is close to an $n$-tuple of commuting self-adjoint operators on $H.$ We give an affirmative answer to the problem wh
Externí odkaz:
http://arxiv.org/abs/2401.04018
We give a brief survey of the development of the Elliott program of classification of separable simple amenable $C^*$-algebras.
Comment: This is a version of the Frontier Science Award Lecture at the First International Congress of Basic Science
Comment: This is a version of the Frontier Science Award Lecture at the First International Congress of Basic Science
Externí odkaz:
http://arxiv.org/abs/2311.14238
Let $A$ be a separable amenable $C^*$-algebra and $B$ a non-unital and $\sigma$-unital simple $C^*$-algebra with continuous scale ($B$ need not be stable). We classify, up to unitary equivalence, all essential extensions of the form $0 \rightarrow B
Externí odkaz:
http://arxiv.org/abs/2307.15558
Autor:
Lin, Huaxin
Let $A$ be a $\sigma$-unital finite simple $C^*$-algebra which has strict comparison property. We show that if the canonical map $\Gamma$ from the Cuntz semigroup to certain lower semi-continuous affine functions is surjective, then $A$ has tracial a
Externí odkaz:
http://arxiv.org/abs/2301.09250
Autor:
Brown, Lawrence G., Lin, Huaxin
We show that, when $A$ is a separable C*-algebra, every countably generated Hilbert $A$-module is projective (with bounded module maps as morphisms). We also study the approximate extensions of bounded module maps. In the case that $A$ is a $\sigma$-
Externí odkaz:
http://arxiv.org/abs/2301.04247
Autor:
Lin, Huaxin
Let $A$ be a unital separable non-elementary amenable simple stably finite C*-algebra such that its tracial state space has a $\sigma$-compact countable-dimensional extremal boundary. We show that $A$ is ${\cal Z}$-stable if and only if it has strict
Externí odkaz:
http://arxiv.org/abs/2205.04013