Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Piotr M. Hajac"'
Publikováno v:
Bulletin of the London Mathematical Society. 53:1-15
We find a substantial class of pairs of $*$-homomorphisms between graph C*-algebras of the form $C^*(E)\hookrightarrow C^*(G)\twoheadleftarrow C^*(F)$ whose pullback C*-algebra is an AF graph C*-algebra. Our result can be interpreted as a recipe for
Publikováno v:
Banach Center Publications. 120:169-178
We define an admissible decomposition of a graph $E$ into subgraphs $F_1$ and $F_2$, and consider the intersection graph $F_1\cap F_2$ as a subgraph of both $F_1$ and $F_2$. We prove that, if the graph $E$ is row finite and its decomposition into the
Publikováno v:
Banach Center Publications, 120, 161-168. Institute of Mathematics, Polish Academy of Sciences
By a diagonal embedding of $U(1)$ in $SU_q(m)$, we prolongate the diagonal circle action on the Vaksman-Soibelman quantum sphere $S^{2n+1}_q$ to the $SU_q(m)$-action on the prolongated bundle. Then we prove that the noncommutative vector bundles asso
Publikováno v:
JOURNAL OF NONCOMMUTATIVE GEOMETRY
Let $H$ be the C*-algebra of a non-trivial compact quantum group acting freely on a unital C*-algebra $A$. It was recently conjectured that there does not exist an equivariant $*$-homomorphism from $A$ (type-I case) or $H$ (type-II case) to the equiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd73c42cde3b6ffaf7d76d460dd60b7b
http://hdl.handle.net/10852/83344
http://hdl.handle.net/10852/83344
Publikováno v:
Documenta Mathematica. 22:825-849
Motivated by recent results in graph C*-algebras concerning an equivariant pushout structure of the Vaksman-Soibelman quantum odd spheres, we introduce a class of graphs called trimmable. Then we show that the Leavitt path algebra of a trimmable grap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fd405693c03b13d7aba70e4ae02f99c
http://arxiv.org/abs/1803.10209
http://arxiv.org/abs/1803.10209
We prove that the graph C*-algebra $C^*(E)$ of a trimmable graph $E$ is $U(1)$-equivariantly isomorphic to a pullback C*-algebra of a subgraph C*-algebra $C^*(E'')$ and the C*-algebra of functions on a circle tensored with another subgraph C*-algebra
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f218451196562f9fbc4464a6e7a13f9
http://arxiv.org/abs/1712.08010
http://arxiv.org/abs/1712.08010
Autor:
Tomasz Maszczyk, Piotr M. Hajac
Our main theorem is that the pullback of an associated noncommutative vector bundle induced by an equivariant map of quantum principal bundles is a noncommutative vector bundle associated via the same finite-dimensional representation of the structur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::588f629bcd9ed12d6d3592ece4cbb2bc
Autor:
Piotr M. Hajac, Bartosz Zieliński
Publikováno v:
Banach Center Publications. 98:239-243