Výsledky vyhledávání - "Nonstable K-theory"

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Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras

Autor: Li, Zhihua, Xue, Yifeng

Let $0\longrightarrow \B\stackrel{j}{\longrightarrow}E\stackrel{\pi}{\longrightarrow}\A\longrightarrow 0$ be an extension of $\A$ by $\B$, where $\A$ is a unital simple purely infinite $C^{*}$--algebra. When $\B$ is a simple separable essential ideal

Externí odkaz: http://arxiv.org/abs/1006.5725

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Semilattices of groups and nonstable K-theory of extended Cuntz limits

Autor: Pardo, Enrique, Wehrung, Friedrich

Publikováno v: K-Theory 37 (2006) 1--23

We give an elementary characterization of those (abelian) semigroups $M$ that are direct limits of countable sequences of finite direct products of monoids of the form $C\cup\{0\}$ for monogenic groups $C$. This characterization involves the Riesz re

Externí odkaz: http://arxiv.org/abs/math/0511272

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Nonstable $K$-theory for graph algebras

Autor: Ara, P., Moreno, M. A., Pardo, E.

We compute the monoid $V(L_K(E))$ of isomorphism classes of finitely generated projective modules over certain graph algebras $L_K(E)$, and we show that this monoid satisfies the refinement property and separative cancellation. We also show that ther

Externí odkaz: http://arxiv.org/abs/math/0412243

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Akademický článek

THE GENERAL STABLE RANK IN NONSTABLE K-THEORY

Autor: XUE, YIFENG

Publikováno v: The Rocky Mountain Journal of Mathematics, 2000 Jul 01. 30(2), 761-775.

Externí odkaz: https://www.jstor.org/stable/44238504

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Nonstable K-theory for Z-stable C*-algebras

Autor: Jiang, Xinhui

Let Z denote the simple limit of prime dimension drop algebras that has a unique tracial state. Let A != 0 be a unital C^*-algebra with A = A tensor Z. Then the homotopy groups of the group U(A) of unitaries in A are stable invariants, namely, \pi_i(

Externí odkaz: http://arxiv.org/abs/math/9707228

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