CAT(0) spaces and expanders

Takefumi Kondo

doi:10.1007/s00209-011-0866-y

CAT(0) spaces and expanders

Takefumi Kondo

SCI - Mathematics

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

10 Citations (Scopus)

Abstract

We construct a CAT(0) space Y with Izeki-Nayatani invariant δ(Y) = 1. By a similar construction, we also prove that there exists a CAT(0) space which does not have Markov type p for every p > 1.

Original language	English
Pages (from-to)	343-355
Number of pages	13
Journal	Mathematische Zeitschrift
Volume	271
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-011-0866-y
Publication status	Published - 2012 Jun 1

Keywords

CAT(0) space
Izeki-Nayatani invariant
Markov type
Spectral gap

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-011-0866-y

Cite this

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title = "CAT(0) spaces and expanders",

abstract = "We construct a CAT(0) space Y with Izeki-Nayatani invariant δ(Y) = 1. By a similar construction, we also prove that there exists a CAT(0) space which does not have Markov type p for every p > 1.",

keywords = "CAT(0) space, Izeki-Nayatani invariant, Markov type, Spectral gap",

author = "Takefumi Kondo",

year = "2012",

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AU - Kondo, Takefumi

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N2 - We construct a CAT(0) space Y with Izeki-Nayatani invariant δ(Y) = 1. By a similar construction, we also prove that there exists a CAT(0) space which does not have Markov type p for every p > 1.

AB - We construct a CAT(0) space Y with Izeki-Nayatani invariant δ(Y) = 1. By a similar construction, we also prove that there exists a CAT(0) space which does not have Markov type p for every p > 1.

KW - CAT(0) space

KW - Izeki-Nayatani invariant

KW - Markov type

KW - Spectral gap

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M3 - Article

AN - SCOPUS:84861004276

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SP - 343

EP - 355

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

CAT(0) spaces and expanders

Abstract

Keywords

ASJC Scopus subject areas

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