scholarly journals Bernoulli actions of type III1 and L2-cohomology

2018 ◽  
Vol 28 (2) ◽  
pp. 518-562 ◽  
Author(s):  
Stefaan Vaes ◽  
Jonas Wahl
Keyword(s):  
Type Iii1 ◽  
L2 Cohomology

scholarly journals L2 -cohomology of manifolds with flat ends

2003 ◽  
Vol 13 (2) ◽  
pp. 366-395 ◽  
Author(s):  
C. Carron
Keyword(s):  
L2 Cohomology

scholarly journals Maximal rigid subalgebras of deformations and L2-cohomology

2021 ◽  
Vol 14 (7) ◽  
pp. 2269-2306
Author(s):  
Rolando de Santiago ◽  
Ben Hayes ◽  
Daniel J. Hoff ◽  
Thomas Sinclair
Keyword(s):  
L2 Cohomology

scholarly journals A new construction of factors of type III1

2007 ◽  
Vol 242 (2) ◽  
pp. 375-399 ◽  
Author(s):  
Cyril Houdayer
Keyword(s):  
Type Iii1 ◽  
New Construction

Some New Results on L2 Cohomology of Negatively Curved Riemannian Manifolds

2005 ◽  
Vol 57 (2) ◽  
pp. 251-266
Author(s):  
M. Cocos
Keyword(s):  
Heat Equation ◽  
Riemannian Manifolds ◽  
Curved Manifolds ◽  
Negatively Curved ◽  
Regularity Properties ◽  
L2 Cohomology ◽  
Cohomology Spaces

AbstractThe present paper is concerned with the study of the L2 cohomology spaces of negatively curved manifolds. The first half presents a finiteness and vanishing result obtained under some curvature assumptions, while the second half identifies a class of metrics having non-trivial L2 cohomology for degree equal to the half dimension of the space. For the second part we rely on the existence and regularity properties of the solution for the heat equation for forms.

Von Neumann Categories and Extended L2 Cohomology

K-Theory ◽  
1998 ◽  
Vol 15 (4) ◽  
pp. 347-405 ◽  
Author(s):  
Michael Farber
Keyword(s):  
Von Neumann ◽  
L2 Cohomology

scholarly journals Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1

2017 ◽  
Vol 28 (07) ◽  
pp. 1750052
Author(s):  
Toshihiko Masuda
Keyword(s):  
Classification Theorem ◽  
Finitely Generated ◽  
Tensor Categories ◽  
Type Iii ◽  
Type Iii1 ◽  
Injective Factor

In this paper, we generalize Izumi’s result on uniqueness of realization of finite C[Formula: see text]-tensor categories in the endomorphism category of the injective factor of type III1 for finitely generated strongly amenable C[Formula: see text]-tensor categories by applying Popa’s classification theorem of strongly amenable subfactors of type III1.

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