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pro vyhledávání: '"Dadarlat, Marius"'
Autor:
Dadarlat, Marius
In this article we discuss cohomological obstructions to two kinds of group stability. In the first part, we show that residually finite groups $\Gamma$ which arise as fundamental groups of compact Riemannian manifolds with strictly negative sectiona
Externí odkaz:
http://arxiv.org/abs/2304.04645
Locally trivial bundles of $C^*$-algebras with fibre $D \otimes \mathcal{K}$ for a strongly self-absorbing $C^*$-algebra $D$ over a finite CW-complex $X$ form a group $E^1_D(X)$ that is the first group of a cohomology theory $E^*_D(X)$. In this paper
Externí odkaz:
http://arxiv.org/abs/2302.08028
Autor:
Dadarlat, Marius, Pennig, Ulrich
We extend our previous results on generalized Dixmier-Douady theory to graded $C^*$-algebras, as means for explicit computations of the invariants arising for bundles of ungraded $C^*$-algebras. For a strongly self-absorbing $C^*$-algebra $D$ and com
Externí odkaz:
http://arxiv.org/abs/2210.16360
Autor:
Dadarlat, Marius
The Exel-Loring formula asserts that two topological invariants associated to a pair of almost commuting unitary matrices coincide. Such a pair can be viewed as a quasi-representation of $\mathbb{Z}^2$. We give a generalization of this formula for co
Externí odkaz:
http://arxiv.org/abs/2111.05755
Autor:
Dadarlat, Marius
A discrete countable group G is matricially stable if the finite dimensional approximate unitary representations of G are perturbable to genuine representations in the point-norm topology. For large classes of groups G, we show that matricial stabili
Externí odkaz:
http://arxiv.org/abs/2007.12655
Autor:
Dadarlat, Marius, Weld, Ellen
We prove that a Bieberbach group with trivial center is not connective and use this property to show that a Bieberbach group is connective if and only if it is poly-Z.
Comment: Revised version, it includes an improved Corollary 1.3 and new refer
Comment: Revised version, it includes an improved Corollary 1.3 and new refer
Externí odkaz:
http://arxiv.org/abs/1906.00942
Autor:
Dadarlat, Marius
It is shown that a separable exact residually finite dimensional C*-algebra with locally finitely generated (rational) even K-homology embeds in a uniformly hyperfinite C*-algebra.
Comment: A final version will appear in the Muenster Journal of
Comment: A final version will appear in the Muenster Journal of
Externí odkaz:
http://arxiv.org/abs/1807.03230
Akademický článek
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Autor:
Dadarlat, Marius, Pennig, Ulrich
Publikováno v:
Journal of Functional Analysis Volume 272, Issue 12, 15 June 2017, Pages 4919-4943
Connectivity is a homotopy invariant property of separable C*-algebras which has three notable consequences: absence of nontrivial projections, quasidiagonality and a more geometric realization of KK-theory for nuclear C*-algebras using asymptotic mo
Externí odkaz:
http://arxiv.org/abs/1609.09453
Publikováno v:
Ann. K-Th. 3 (2018) 615-630
Based on the localization algebras of Yu, and their subsequent analysis by Qiao and Roe, we give a new picture of KK-theory in terms of time-parametrized families of (locally) compact operators that asymptotically commute with appropriate representat
Externí odkaz:
http://arxiv.org/abs/1609.06690