Zobrazeno 1 - 10
of 355
pro vyhledávání: '"P. Tikuisis"'
We prove that, for an action $\alpha \colon G \curvearrowright X$ of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied by uniform property $\Gamma$ of the Cartan subalgebra $(C(X) \subseteq
Externí odkaz:
http://arxiv.org/abs/2406.09808
Autor:
Carrión, José R., Castillejos, Jorge, Evington, Samuel, Gabe, James, Schafhauser, Christopher, Tikuisis, Aaron, White, Stuart
We introduce a new class of operator algebras -- tracially complete C*-algebras -- as a vehicle for transferring ideas and results between C*-algebras and their tracial von Neumann algebra completions. We obtain structure and classification results f
Externí odkaz:
http://arxiv.org/abs/2310.20594
Autor:
Oyetunbi, Dolapo, Tikuisis, Aaron
In this paper, we characterize $\ell$-open and $\ell$-closed $C^*$-algebras and deduce that $\ell$-open $C^*$-algebras are $\ell$-closed, as conjectured by Blackadar. Moreover, we show that a commutative unital $C^*$-algebra is $\ell$-open if and onl
Externí odkaz:
http://arxiv.org/abs/2310.15155
We classify the unital embeddings of a unital separable nuclear $C^*$-algebra satisfying the universal coefficient theorem into a unital simple separable nuclear $C^*$-algebra that tensorially absorbs the Jiang--Su algebra. This gives a new and essen
Externí odkaz:
http://arxiv.org/abs/2307.06480
Autor:
Sarkowicz, Pawel, Tikuisis, Aaron
We show that the Hausdorffized algebraic K-theory of a C*-algebra decomposes naturally as a direct sum of the Hausdorffized unitary algebraic K-theory and the space of continuous affine functions on the trace simplex. Under mild regularity hypotheses
Externí odkaz:
http://arxiv.org/abs/2303.16248
An error in the original paper is identified and corrected. The C*-algebras with approximately inner flip, which satisfy the UCT, are identified (and turn out to be fewer than what is claimed in the original paper). The action of the flip map on K-th
Externí odkaz:
http://arxiv.org/abs/2303.11106
Autor:
Gardner, Ruaridh, Tikuisis, Aaron
Generalizing the case of the Toeplitz algebra by Brake and Winter, we prove that the nuclear dimension of a C*-algebra extension of C(X) by the compact operators is equal to the dimension of X.
Comment: 16 pages. To appear in JOT
Comment: 16 pages. To appear in JOT
Externí odkaz:
http://arxiv.org/abs/2202.04695
Autor:
Tikuišis, Kristupas Kazimieras, Wyzula, Jan, Ohnoutek, Lukáš, Cejpek, Petr, Uhlířová, Klára, Hakl, Michael, Faugeras, Clément, Výborný, Karel, Ishida, Akihiro, Veis, Martin, Orlita, Milan
Publikováno v:
Phys. Rev. B 103, 155304 (2021)
We report on an infrared magneto-spectroscopy study of Pb$_{1-x}$Sn$_x$Se, a topological crystalline insulator. We have examined a set of samples, all in the inverted regime of electronic bands, with the tin composition varying from $x=0.2$ to $0.33$
Externí odkaz:
http://arxiv.org/abs/2103.15959
Publikováno v:
M\"unster J. Math. 14 (2021), no. 2, 265-281
We classify $^*$-homomorphisms from nuclear $C^*$-algebras into uniform tracial sequence algebras of nuclear $\mathcal Z$-stable $C^*$-algebras via tracial data.
Comment: Appendix A added, containing a 2 page corrigendum fixing a small error in
Comment: Appendix A added, containing a 2 page corrigendum fixing a small error in
Externí odkaz:
http://arxiv.org/abs/2006.04485
Autor:
Liao, Hung-Chang, Tikuisis, Aaron
Inspired by Kerr's work on topological dynamics, we define tracial $\mathcal{Z}$-stability for sub-$C^*$-algebras. We prove that for a countable discrete amenable group $G$ acting freely and minimally on a compact metrizable space $X$, tracial $\math
Externí odkaz:
http://arxiv.org/abs/2001.10107