Stable rank and real rank for some classes of group C*-algebras

Robert J Archbold; E. Kaniuth

doi:10.1090/S0002-9947-05-03835-3

Stable rank and real rank for some classes of group C*-algebras

Robert J Archbold, E. Kaniuth

Mathematical Science

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We investigate the real and stable rank of the C*- algebras of locally compact groups with relatively compact conjugacy classes or finite-dimensional irreducible representations. Estimates and formulae are given in terms of the group- theoretic rank.

Original language	English
Pages (from-to)	2165-2186
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	357
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-05-03835-3
Publication status	Published - 2005

Keywords

NILPOTENT LIE-GROUPS
STAR-ALGEBRAS
CROSSED-PRODUCTS
EXTENSIONS
ZERO

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10.1090/S0002-9947-05-03835-3

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abstract = "We investigate the real and stable rank of the C*- algebras of locally compact groups with relatively compact conjugacy classes or finite-dimensional irreducible representations. Estimates and formulae are given in terms of the group- theoretic rank.",

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author = "Archbold, {Robert J} and E. Kaniuth",

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AU - Kaniuth, E.

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AB - We investigate the real and stable rank of the C*- algebras of locally compact groups with relatively compact conjugacy classes or finite-dimensional irreducible representations. Estimates and formulae are given in terms of the group- theoretic rank.

KW - NILPOTENT LIE-GROUPS

KW - STAR-ALGEBRAS

KW - CROSSED-PRODUCTS

KW - EXTENSIONS

KW - ZERO

U2 - 10.1090/S0002-9947-05-03835-3

DO - 10.1090/S0002-9947-05-03835-3

M3 - Article

SN - 0002-9947

VL - 357

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EP - 2186

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 6

ER -

Stable rank and real rank for some classes of group C*-algebras

Abstract

Keywords

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