Cover Image

A Lichnerowicz Vanishing Theorem for the Maximal Roe Algebra

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Guo, Hao, Xie, Zhizhang, Yu, Guoliang
Format:	Preprint
Published:	2019
Subjects:	K-Theory and Homology Differential Geometry Operator Algebras 46L80, 53C20, 58B34
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Functoriality for higher rho invariants of elliptic operators
by: Guo, Hao, et al.
Published: (2020)

Covering complexity, scalar curvature, and quantitative $K$-theory
by: Guo, Hao, et al.
Published: (2022)

Filling Radius, Quantitative $K$-theory and Positive Scalar Curvature
by: Wang, Jinmin, et al.
Published: (2023)

A geometric Elliott invariant and noncommutative rigidity of mapping tori
by: Guo, Hao, et al.
Published: (2022)

Persistence approximation property for $L^p$ operator algebras
by: Wang, Hang, et al.
Published: (2022)

Deformation and $K$-theoretic Index Formulae on Boundary Groupoids
by: Qiao, Yu, et al.
Published: (2023)

Renormalized Index Formulas for Elliptic Differential Operators on Boundary Groupoids
by: Qiao, Yu, et al.
Published: (2021)

Conformal transformations and equivariance in unbounded KK-theory
by: Masters, Ada, et al.
Published: (2024)

Mayer--Vietoris and Twisted Čech Spectral Sequences for C$^*$-Algebras with Free Quantum Group Coefficients
by: Inoué, Takao
Published: (2026)

The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings
by: Guo, Liang, et al.
Published: (2026)

A transverse index theorem in the calculus of filtered manifolds
by: Cren, Clément
Published: (2022)

Spectral localizers in KK-theory
by: Kaad, Jens
Published: (2025)

Euler characteristics, higher Kazhdan projections and delocalised $\ell^2$-Betti numbers
by: Pooya, Sanaz, et al.
Published: (2025)

Controlled KK-theory, and a Milnor exact sequence
by: Willett, Rufus, et al.
Published: (2020)

Noncommutative coarse metric geometry
by: Hafid, Ayoub
Published: (2026)

$L^p$ coarse Baum-Connes conjecture via $C_{0}$ coarse geometry
by: Wang, Hang, et al.
Published: (2023)

Relative higher index theory on quotients of Roe algebras and positive scalar curvature at infinity
by: Guo, Liang, et al.
Published: (2025)

The $K$-Theory of the Sphere with the Antipodal Involution
by: Boersema, Jeffrey L
Published: (2025)

Functors between Kasparov categories from étale groupoid correspondences
by: Miller, Alistair
Published: (2023)

Ample groupoid homology and étale correspondences
by: Miller, Alistair
Published: (2023)

Real $K$-Theory for $C^*$-Algebras: Just the Facts
by: Boersema, Jeff, et al.
Published: (2024)

Fredholm anomalies on manifold with corners of low codimensions and conormal corner cycles
by: Rouse, Paulo Carrillo, et al.
Published: (2025)

Rieffel projections and 2-by-2 matrices
by: Isely, Olivier, et al.
Published: (2025)

Closed quantum surfaces from the Toeplitz extension
by: Sierra, Arley, et al.
Published: (2023)

Conditional representation stability, classification of $*$-homomorphisms, and relative eta invariants
by: Willett, Rufus
Published: (2024)

Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature
by: Guo, Hao
Published: (2018)

$K$-stability of $C^*$-algebras generated by isometries and unitaries with twisted commutation relations
by: Bhatt, Shreema Subhash, et al.
Published: (2023)

The odd spectral localiser via asymptotic morphisms and quasi-projections
by: Li, Yuezhao, et al.
Published: (2025)

On amplified graph C*-algebras as cores of Cuntz-Krieger algebras
by: D'Andrea, Francesco, et al.
Published: (2025)

Split exactness, operator homotopy and stable uniqueness in KK
by: Cuntz, Joachim
Published: (2024)

Vanishing of dimensions and nonexistence of spectral triples on compact Vilenkin groups
by: Biswas, Surajit, et al.
Published: (2025)

$C(SO_q(2n+1)/SO_q(2n-1))$ as iterated torsioned quantum double suspensions of $C(\mathbb{T})$
by: Saurabh, Bipul
Published: (2026)

Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies
by: Mundey, Alexander, et al.
Published: (2024)

The universal property of graded $KK^G$-theory
by: Burgstaller, Bernhard
Published: (2026)

A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps
by: Willett, Rufus
Published: (2026)

The twisted coarse Baum--Connes conjecture and relative hyperbolic groups
by: Deng, Jintao, et al.
Published: (2025)

Isomorphisms in K-theory from isomorphisms in groupoid homology theories
by: Miller, Alistair
Published: (2024)

A higher index and rapidly decaying kernels
by: Guo, Hao, et al.
Published: (2025)

Positive scalar curvature and an equivariant Callias-type index theorem for proper actions
by: Guo, Hao, et al.
Published: (2020)

The maximal coarse Baum-Connes conjecture for spaces that admit an A-by-FCE coarse fibration structure
by: Guo, Liang, et al.
Published: (2024)