Shelley Hebert, Slawomir Klimek, Matt McBride, J. Wilson Peoples, “A Pile of Shifts II: Structure and $K$-Theory”, SIGMA, 2025, том 21,035, 22 стр.

A Pile of Shifts II: Structure and $K$-Theory

Shelley Hebert^a, Slawomir Klimek^b, Matt McBride^a, J. Wilson Peoples^c

^a Department of Mathematics and Statistics, Mississippi State University, 175 President’s Cir. Mississippi State, MS 39762, USA
^b Department of Mathematical Sciences, Indiana University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
^c Department of Mathematics, Pennsylvania State University, 107 McAllister Bld., University Park, State College, PA 16802, USA

Аннотация: We discuss $C^*$-algebras associated with several different natural shifts on the Hilbert space of the $s$-adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025), 32, 30 pages, arXiv:2412.00854] and in particular we describe their structure and compute the $K$-theory groups.

Ключевые слова: crossed products by endomorphims, $K$-theory, $s$-adic integers.

MSC: 47L65, 46L35, 46L80

Поступила: 16 января 2025 г.; в окончательном варианте 6 мая 2025 г.; опубликована 12 мая 2025 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2025.035