Manuilov Algebra, C*-Hilbert Modules, and Kuiper Type Theorems

Autor:	E. V. Troitskii
Rok vydání:	2018
Předmět:	Pure mathematics 010102 general mathematics Statistical and Nonlinear Physics 010103 numerical & computational mathematics Type (model theory) 01 natural sciences Column (database) Bounded function 0101 mathematics Algebra over a field Row Mathematical Physics Separable hilbert space Mathematics
Zdroj:	Russian Journal of Mathematical Physics. 25:534-544
ISSN:	1555-6638 1061-9208
DOI:	10.1134/s1061920818040118
Popis:	We generalize (in two natural ways) the C*-algebra generated by matrices of bounded operators in a separable Hilbert space H with a bounded number of nonzero elements in each row and each column, introduced recently by V. Manuilov. We consider the standard C*-Hilbert module HA instead of H = Hℂ. Also we consider the algebras with finiteness conditions only on rows or only on columns. For related general linear groups, we prove the contractibility (Kuiper type theorems) and some other properties.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::33c38786903b6ff2bbc265d83374b49c https://doi.org/10.1134/s1061920818040118 Zobrazit plný text záznamu Full text from SpringerLink