Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Hannes Thiel"'
Autor:
Eusebio Gardella, Hannes Thiel
Publikováno v:
Linear Algebra and its Applications. 670:121-153
We say that an algebra is zero-product balanced if $ab\otimes c$ and $a\otimes bc$ agree modulo tensors of elements with zero-product. This is closely related to but more general than the notion of a zero-product determined algebra of Bre\v{s}ar, Gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8e63539be70afc6c2c11e44d1b2ccc6
https://doi.org/10.1016/j.laa.2023.04.015
https://doi.org/10.1016/j.laa.2023.04.015
Autor:
Hannes Thiel
Publikováno v:
Canadian Journal of Mathematics. :1-29
We compute the generator rank of a subhomogeneous $C^*\!$ -algebra in terms of the covering dimension of the pieces of its primitive ideal space corresponding to irreducible representations of a fixed dimension. We deduce that every $\mathcal {Z}$ -s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87fa84c05ba26fc7e9ca1222b26fd8f8
https://doi.org/10.4153/s0008414x22000268
https://doi.org/10.4153/s0008414x22000268
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:525-547
We prove that Cuntz semigroups of C*-algebras satisfy Edwards' condition with respect to every quasitrace. This condition is a key ingredient in the study of the realization problem of functions on the cone of quasitraces as ranks of positive element
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bd3e395f7f84f3791dcb47284c8ea3d
https://doi.org/10.1017/prm.2020.26
https://doi.org/10.1017/prm.2020.26
Autor:
Hannes Thiel, Eduard Vilalta
Publikováno v:
International Journal of Mathematics. 32
We show that the dimension of the Cuntz semigroup of a C*-algebra is determined by the dimensions of the Cuntz semigroups of its separable sub-C*-algebras. This allows us to remove separability assumptions from previous results on the dimension of Cu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cc58643d36e98ff6c0f7ed60b4befdb
https://doi.org/10.1142/s0129167x21501007
https://doi.org/10.1142/s0129167x21501007
Autor:
Hannes Thiel
Publikováno v:
Communications in Mathematical Physics. 377:37-76
Let $A$ be a separable, unital, simple C*-algebra with stable rank one. We show that every strictly positive, lower semicontinuous, affine function on the simplex of normalized quasitraces of $A$ is realized as the rank of an operator in the stabiliz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::489c6d9ada3ce7c4149a694fce38f228
https://doi.org/10.1007/s00220-019-03491-8
https://doi.org/10.1007/s00220-019-03491-8
Autor:
Hannes Thiel, Eduard Vilalta
We introduce a notion of covering dimension for Cuntz semigroups of C*-algebras. This dimension is always bounded by the nuclear dimension of the C*-algebra, and for subhomogeneous C*-algebras both dimensions agree. Cuntz semigroups of Z-stable C*-al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7758aed751881f841929615261fc0ebf
Autor:
Hannes Thiel
We show that every separable C*-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that in every classifiable, simple, nuclear C*-algebra, a generic element is a generator.
18 p
18 p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::060606d2085f904c1627d0cd380be988
http://arxiv.org/abs/2006.08404
http://arxiv.org/abs/2006.08404
Publikováno v:
International Mathematics Research Notices. 2020:5342-5386
We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups $S$ and $T$, there is another Cuntz semigroup $((S,T))$ playing the role of morphisms from $S$ to $T$. Applied to C*-algebras $A$ and $B$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f89464e28e9df2350db1f7f75f2a9641
https://doi.org/10.1093/imrn/rny143
https://doi.org/10.1093/imrn/rny143
We prove that the category of abstract Cuntz semigroups is bicomplete. As a consequence, the category admits products and ultraproducts. We further show that the scaled Cuntz semigroup of the (ultra)product of a family of C*-algebras agrees with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b570a98c05afeafdaa18332fe793e3bb
http://arxiv.org/abs/1905.03208
http://arxiv.org/abs/1905.03208
Autor:
Eusebio Gardella, Hannes Thiel
Publikováno v:
International Journal of Mathematics. 31:2050053
For Banach spaces X and Y, we establish a natural bijection between preduals of Y and preduals of L(X,Y) that respect the right L(X)-module structure. If X is reflexive, it follows that there is a unique predual making L(X) into a dual Banach algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fa78800451c42e56227e588e1051bd4
https://doi.org/10.1142/s0129167x20500536
https://doi.org/10.1142/s0129167x20500536