Regular, Quasi-regular and Induced Representations of Infinite-dimensional Groups

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	FrontmatterDownload pp. i–v
	PrefaceDownload pp. vii–xxv
	ContentsDownload pp. xxvii–xxxii
1	Introduction and Preliminariespp. 1–34
2	Regular representations of groups $B_0^\mathbb{N}$ and $B_0^\mathbb{Z}$ pp. 35–109
3	Quasi-regular representations of the groups $B_0^\mathbb{N}$ , $B_0^\mathbb{Z}$ , and $G=$ Bor $_0^\mathbb{N}$ pp. 111–216
4	Quasi-regular representations of $B_0^\mathbb{N}$ , product of m-dimensional Gaussian measurespp. 217–262
5	Elements of the modular theory for regular representationspp. 263–281
6	von Neumann algebras generated by the regular representationspp. 283–343
7	Induced representationspp. 345–384
8	Description of the dual for the groups $B_0^\mathbb{N}$ and $B_0^\mathbb{Z}$ . First stepspp. 385–388
9	Ismagilov conjecture over a finite field $\mathbb{F}_p$ pp. 389–478
10	Irreducibility of the Koopman representations of GL $_0(2\infty,\mathbb{R})$ pp. 479–521
11	Regular representations of non-matrix infinite-dimensional groupspp. 523–531
12	How to construct a triple $(\overline{G},G,\mu)$ for an infinite-dimensional group $G$ ?pp. 533–538
	Bibliographypp. 539–549
	Indexpp. 551–555