Annals of K-Theory

Shmuel Weinberger

Zhizhang Xie

Guoliang Yu

On Gromov’s compactness question regarding positive scalar curvature

关于Gromov紧性问题与正数量曲率

We state the Paschke-Higson duality theorem for a transformation groupoid.Our proof relies on an equivariant localized and norm-controlled version of the Pimsner-Popa-Voiculescu theorem.The main consequence is the existence of a Higson-Roe exact sequence, involving the Baum-Connes assembly map for such groupoid.

Moulay-Tahar Benameur

Indrava Roy

An equivariant PPV theorem and Paschke–Higson duality

等变PPV定理与Paschke–Higson对偶

Shouhei Ma

Unramified cohomology, integral coniveau filtration and Griffiths groups

未分支上同调，整数余维数滤过与格里菲斯群

We show that the sheaf of $\mathbb A^1$-connected components of a Nisnevich sheaf of sets and its universal $\mathbb A^1$-invariant quotient (obtained by iterating the $\mathbb A^1$-chain connected components construction and taking the direct limit) agree on field-valued points. This establishes an explicit formula for the field-valued points of the sheaf of $\mathbb A^1$-connected components of any space. Given any natural number $n$, we construct an $\mathbb A^1$-connected space on which the iterations of the naive $\mathbb A^1$-connected components construction do not stabilize before the $n$th stage.

Chetan Balwe

Bandna Rani

Anand Sawant

Remarks on iterations of the 𝔸1-chain connected components construction

关于𝔸1链连通分量构造迭代的几点注记

We initiate the study of real $C^*$-algebras associated to higher-rank graphs $\Lambda$, with a focus on their $K$-theory. Following Kasparov and Evans, we identify a spectral sequence which computes the $\mathcal{CR}$ $K$-theory of $C^*_{\mathbb R} (\Lambda, \gamma)$ for any involution $\gamma$ on $\Lambda$, and show that the $E^2$ page of this spectral sequence can be straightforwardly computed from the combinatorial data of the $k$-graph $\Lambda$ and the involution $\gamma$. We provide a complete description of $K^{CR}(C^*_{\mathbb R}(\Lambda, \gamma))$ for several examples of higher-rank graphs $\Lambda$ with involution.

Jeffrey L. Boersema

Elizabeth Gillaspy

K-theory for real k-graph C∗-algebras

实k-图C∗-代数的K-理论

Jack Morgan Davies

Uniqueness of real ring spectra up to higher homotopy

实环谱在更高同伦意义下的唯一性

Nadia Romero

Hochschild cohomology for functors on linear symmetric monoidal categories

线性对称幺半范畴上函子的Hochschild上同调

Toshiro Hiranouchi

An additive variant of the differential symbol maps

微分符号映射的一个加性变体

Guihua Gong

Huaxin Lin

On classification of nonunital amenable simple C*-algebras, IV: Stably projectionless C*-algebras

关于非单位可容许简单C*-代数的分类，第四部分：稳定无投影C*-代数

Abbreviation	Ann. K-Theory
Journal Impact	0.68
Quartiles(Global)	MATHEMATICS(Q3)

Publication Information	Publisher: Mathematical Sciences Publishers，Publishing cycle: ，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2016，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 0.00%

Annals of K-Theory

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On Gromov’s compactness question regarding positive scalar curvature

An equivariant PPV theorem and Paschke–Higson duality

Unramified cohomology, integral coniveau filtration and Griffiths groups

Remarks on iterations of the 𝔸1-chain connected components construction

K-theory for real k-graph C∗-algebras

On Gromov’s compactness question regarding positive scalar curvature

Uniqueness of real ring spectra up to higher homotopy

Hochschild cohomology for functors on linear symmetric monoidal categories

An additive variant of the differential symbol maps

On classification of nonunital amenable simple C-algebras, IV: Stably projectionless C-algebras

ISSN	2379-1683, 2379-1691
h-index	8