Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Puschnigg, Michael"'
Autor:
Puschnigg, Michael
We calculate the local cyclic homology of group Banach-algebras of discrete groups acting properly, isometrically and cocompactly on a CAT(0)-space.
Comment: 33 pages
Comment: 33 pages
Externí odkaz:
http://arxiv.org/abs/2306.00746
Autor:
Puschnigg, Michael
We discuss the cyclic homology of crossed product algebras from the Cuntz-Quillen point of view. The periodic cyclic homology of a crossed product algebra $A\rtimes G$ is described in terms of the $G$-action on periodic cyclic bicomplexes of crossed
Externí odkaz:
http://arxiv.org/abs/2205.08880
We present two explicit combinatorial constructions of finitely summable reduced "Gamma"-elements $\gamma_r\,\in\,KK(C^*_r(\Gamma),{\mathbb C})$ for any word-hyperbolic group $(\Gamma,S)$ and obtain summability bounds for them in terms of the cardina
Externí odkaz:
http://arxiv.org/abs/2001.09979
Autor:
Puschnigg, Michael
Georges Skandalis exhibited in his work on $K$-nuclearity the first class of $C^*$-algebras $A$ for which the canonical map $K_*(A\otimes_{max}A)\to K_*(A\otimes_{min}A)$ is not an isomorphism. We show that it is the injectivity that fails (even rati
Externí odkaz:
http://arxiv.org/abs/1802.09908
Autor:
Puschnigg, Michael
We calculate the bivariant local cyclic cohomology of the Banach convolution algebra of summable functions on a word-hyperbolic group. Our result implies that the Banach algebraic assembly map in local cyclic homology is an isomorphism for such a gro
Externí odkaz:
http://arxiv.org/abs/1612.07588
Autor:
Puschnigg, Michael
Bourbaki seminar 1062, October 2012.
Externí odkaz:
http://arxiv.org/abs/1211.6009
Autor:
Puschnigg, Michael
We show that the Chern-Connes character from Kasparov's bivariant K-theory to bivariant local cyclic cohomology is not always rationally injective. Counterexamples are provided by the reduced group $C^*$-algebras of word-hyperbolic groups with Kazhda
Externí odkaz:
http://arxiv.org/abs/1102.5262
Autor:
Puschnigg, Michael
We construct dense, unconditional subalgebras of the reduced group $C^*$-algebra of a word-hyperbolic group, which are closed under holomorphic functional calculus and possess many bounded traces. Applications to the cyclic cohomology of group $C^*$-
Externí odkaz:
http://arxiv.org/abs/0904.3675
Autor:
Puschnigg, Michael
We give a complete classification (up to smooth homotopy) of finitely summable Fredholm representations (Fredholm modules) over higher rank groups and lattices. Our results are a direct consequence of work of Bader, Furman, Gelander and Monod on gene
Externí odkaz:
http://arxiv.org/abs/0806.2759
Autor:
Puschnigg, Michael
It is shown that Connes' character formula for unbounded, theta-summable Fredholm modules represents the abstract Chern-character in K-homology. As an application, the character of a particular Fredholm module over the reduced group C*-algebra of a d
Externí odkaz:
http://arxiv.org/abs/math/0604528