Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(8)
baumconnes conjecture
c algebra
Coarse Geometry
Discrete Group
Hilbert Space
Metric Space
Satisfiability
Translation Invariant
Related Publications
(10)
The Coarse BaumConnes Conjecture for Spaces Which Admit a Uniform Embedding into Hilbert Space
Bivariant Ktheory and the Novikov conjecture
EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS
ON THE COARSE BAUMCONNES CONJECTURE
Bounded and continuous control
Subscribe
Academic
Publications
The coarse Baum–Connes conjecture and groupoids
The coarse Baum–Connes conjecture and groupoids,10.1016/S00409383(01)000040,Topology,G. Skandalis,J. L. Tu,G. Yu
Edit
The coarse Baum–Connes conjecture and groupoids
(
Citations: 46
)
BibTex

RIS

RefWorks
Download
G. Skandalis
,
J. L. Tu
,
G. Yu
To every discrete
metric space
with bounded geometry X we associate a groupoid G(X) for which the coarse assembly map for X is equivalent to the Baum–Connes assembly map for G(X) with coefficients in the C∗algebra ℓ∞(X,K). We thus obtain a new proof of the fact that if X admits a uniform embedding into Hilbert space, the coarse assembly map is an isomorphism. If furthermore X is a
discrete group
Γ with a translationinvariant metric, we show, using Higson's descent technique, that Γ also satisfies the Novikov conjecture. This removes the finiteness condition in (Yu, Invent. Math. 139 (2000) 201–204).
Journal:
Topology
, vol. 41, no. 4, pp. 807834, 2002
DOI:
10.1016/S00409383(01)000040
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
linkinghub.elsevier.com
)
(
arxiv.org
)
Citation Context
(29)
...On the other hand, property A also is closely related to some algebraic properties of Roe algebras and its subalgebras (see [12, 10,
17
])...
...Proof. Since X has property A, by Corollary 7.4 in [
17
], B ∗ (X) is nuclear...
ShuYun Wei
.
On the quasidiagonality of Roe algebras
...This result is closely related to work of Skandalis, Tu, and Yu, who in [
8
] established the connection between ´ groupoids and coarse metric spaces...
...For more details on the construction and the ambient context consult the original paper [
8
] of Skandalis, Tu, and Yu; a more comprehensive account on coarse geometry can be found in [9]...
Dmitry Matsnev
,
et al.
Étale groupoids as germ groupoids and their base extensions
...See [
27
]a nd [28] in addition to the argument in [2]...
Stanley Chang
,
et al.
Taming 3manifolds using scalar curvature
...It was proved in [
13
] that for a group Γ which embeds uniformally in a Hilbert space, then � ,B,∗ is injective for any Γalgebra B. As a consequence we obtain...
OyonoOyono Hervé
,
et al.
Ktheory for the maximal Roe algebra of certain expanders
...In recent years other coarse methods have supplanted the compactification method (most notably the embedding method of [
STY
] in the C* algebra setting)...
A. N. Dranishnikov
,
et al.
An etale approach to the Novikov conjecture
References
(10)
Classifying Space for Proper Actions and KTheory of Group C*algebras
(
Citations: 135
)
PAUL BAUM
,
ALAIN CONNES
,
NIGEL HIGSON
Published in 1994.
OPERATOR KTHEORY FOR GROUPS WHICH ACT PROPERLY AND ISOMETRICALLY ON HILBERT SPACE
(
Citations: 58
)
NIGEL HIGSON
,
GENNADI KASPAROV
Published in 1997.
Amenable group actions and the Novikov conjecture
(
Citations: 69
)
Nigel Higson
,
John Roe
Journal:
Journal Fur Die Reine Und Angewandte Mathematik  J REINE ANGEW MATH
, vol. 2000, no. 519, pp. 143153, 2000
Equivariant KKtheory and the Novikov conjecture
(
Citations: 320
)
G. G. Kasparov
Published in 1988.
A groupoid approach to C*algebras
(
Citations: 303
)
J. Renault
Published in 1980.
Sort by:
Citations
(46)
A cryoprotective and coldadapted 1,3βendoglucanase from cherimoya ( Annona cherimola) fruit
Oscar Goñi
,
María T. SanchezBallesta
,
Carmen Merodio
,
María I. Escribano
Journal:
Phytochemistry
, vol. 72, no. 9, pp. 844854, 2011
On the quasidiagonality of Roe algebras
ShuYun Wei
Journal:
Science Chinamathematics  SCI CHINAMATH
, vol. 54, no. 5, pp. 10111018, 2011
Étale groupoids as germ groupoids and their base extensions
(
Citations: 1
)
Dmitry Matsnev
,
Pedro Resende
Journal:
Proceedings of The Edinburgh Mathematical Society  PROC EDINBURGH MATH SOC
, vol. 53, no. 01, pp. 121, 2010
Taming 3manifolds using scalar curvature
Stanley Chang
,
Shmuel Weinberger
,
Guoliang Yu
Journal:
Geometriae Dedicata  GEOM DEDIC
, vol. 148, no. 1, pp. 314, 2010
Hilbert space compression for free products and HNNextensions
Dennis Dreesen
Published in 2010.