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pro vyhledávání: '"Spielberg, Jack"'
Autor:
Spielberg, Jack
We solve the isomorphism problem for essential unital $C^*$-algebra extensions of the form $0 \to \mathcal{K} \oplus \mathcal{K} \to E \xrightarrow{\pi} M_n \otimes C(\mathbb{T}) \to 0$. We then relate these to analogs of the Effros Shen AF algebras
Externí odkaz:
http://arxiv.org/abs/2405.17709
We study group actions on multitrees, which are directed graphs in which there is at most one directed path between any two vertices. In our main result we describe a six-term exact sequence in $K$-theory for the reduced crossed product $C_0(\partial
Externí odkaz:
http://arxiv.org/abs/2311.05285
Autor:
Brooker, Samantha, Spielberg, Jack
In this note we generalize a result from a recent paper of Hajac, Reznikoff and Tobolski (2020). In that paper they give conditions they call admissibility on a pushout diagram in the category of directed graphs implying that the $C^*$-algebras of th
Externí odkaz:
http://arxiv.org/abs/2207.10829
Autor:
Mitscher, Ian, Spielberg, Jack
We construct ample groupoids from certain categories of paths, and prove that their $C^*$-algebras coincide with the continued fraction AF algebras of Effros and Shen. The proof relies on recent classification results for simple nuclear $C^*$-algebra
Externí odkaz:
http://arxiv.org/abs/2106.14032
Autor:
Bozgan, Francisc, Sanchez, Anthony, Silva, Cesar E., Spielberg, Jack, Stevens, David, Wang, Jane
This paper studies the notion of W-measurable sensitivity in the context of semigroup actions. W-measurable sensitivity is a measurable generalization of sensitive dependence on initial conditions. In 2012, Grigoriev et. al. proved a classification r
Externí odkaz:
http://arxiv.org/abs/1808.00483
We study C*-algebras generated by left regular representations of right LCM one-relator monoids and Artin-Tits monoids of finite type. We obtain structural results concerning nuclearity, ideal structure and pure infiniteness. Moreover, we compute K-t
Externí odkaz:
http://arxiv.org/abs/1807.08288
Publikováno v:
Theory and Applications of Categories 33, No. 42 (2018), 1346-1406
We consider Toeplitz and Cuntz-Krieger $C^*$-algebras associated with finitely aligned left cancellative small categories. We pay special attention to the case where such a category arises as the Zappa-Sz\'ep product of a category and a group linked
Externí odkaz:
http://arxiv.org/abs/1712.09432
Autor:
Spielberg, Jack
Categories of paths are a generalization of several kinds of oriented discrete data that have been used to construct $C^*$-algebras. The techniques introduced to study these constructions apply almost verbatim to the more general situation of left ca
Externí odkaz:
http://arxiv.org/abs/1712.07720
Autor:
Spielberg, Jack
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(5), 1579-1626.
Externí odkaz:
https://www.jstor.org/stable/26959900
To a large class of graphs of groups we associate a C*-algebra universal for generators and relations. We show that this C*-algebra is stably isomorphic to the crossed product induced from the action of the fundamental group of the graph of groups on
Externí odkaz:
http://arxiv.org/abs/1602.01919