Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Arici, Francesca"'
We prove that the Cuntz-Pimsner algebra of every Temperley-Lieb subproduct system is KK-self-dual. We show also that every such Cuntz-Pimsner algebra has a canonical KMS-state, which we use to construct a Fredholm module representative for the fundam
Externí odkaz:
http://arxiv.org/abs/2401.01725
We study the decomposability of a finite Blaschke product $B$ of degree $2^n$ into $n$ degree-$2$ Blaschke products, examining the connections between Blaschke products, the elliptical range theorem, Poncelet theorem, and the monodromy group. We show
Externí odkaz:
http://arxiv.org/abs/2206.07466
Autor:
Arici, Francesca, Zegers, Sophie Emma
We study the noncommutative topology of the $C^*$-algebras $C(\mathbb{C}P_q^{n})$ of the quantum projective spaces within the framework of Kasparov's bivariant K-theory. In particular, we construct an explicit KK-equivalence with the commutative alge
Externí odkaz:
http://arxiv.org/abs/2108.11360
Autor:
Arici, Francesca, Kaad, Jens
Motivated by the study of symmetries of C*-algebras, as well as by multivariate operator theory, we introduce the notion of an SU(2)-equivariant subproduct system of Hilbert spaces. We analyse the resulting Toeplitz and Cuntz-Pimsner algebras and pro
Externí odkaz:
http://arxiv.org/abs/2012.11186
We study Veronese and Segre morphisms between non-commutative projective spaces. We compute finite reduced Gr\"obner bases for their kernels, and we compare them with their analogues in the commutative case.
Comment: 24 pages
Comment: 24 pages
Externí odkaz:
http://arxiv.org/abs/2003.01681
Autor:
Arici, Francesca, Mesland, Bram
We review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov's bivariant K-theory. We then discuss the recent applications of Toeplitz algebras in the study of solid state systems, focusing in particular on the
Externí odkaz:
http://arxiv.org/abs/1911.05823
We obtain necessary and sufficient conditions for pure infiniteness of the path groupoid $C^*$-algebra of a row-finite graph without sinks. In particular we show that for such a path groupoid $\mathcal{G}_E$, the properties of being essential princip
Externí odkaz:
http://arxiv.org/abs/1907.05215
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
Externí odkaz:
http://arxiv.org/abs/1810.11426
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
Externí odkaz:
http://arxiv.org/abs/1712.08010
Reflection positivity constitutes an integral prerequisite in the Osterwalder-Schrader reconstruction theorem which relates quantum field theories defined on Euclidean space to their Lorentzian signature counterparts. In this work we rigorously prove
Externí odkaz:
http://arxiv.org/abs/1712.04308