Unit-free versions of the Vidav-Palmer theorem and of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Palacios, Angel Rodriguez
Format:	Preprint
Veröffentlicht:	2023
Schlagworte:	Operator Algebras Functional Analysis AMS Classification 2022: 46L05, 46L70
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

A multiplier approach to the Lance-Blecher theorem
von: Frank, Michael
Veröffentlicht: (1997)

An order-theoretic characterization of C*-algebras
von: Tiersma, Samuel
Veröffentlicht: (2026)

$C^*$-extreme points of unital completely positive maps on real $C^*$-algebras
von: R, Anand O., et al.
Veröffentlicht: (2025)

Decomposition theorems for unital graph C*-algebras
von: Bellier, Guillaume, et al.
Veröffentlicht: (2025)

Endomorphisms of Z-absorbing C*-algebras without conditional expectations
von: Sato, Yasuhiko
Veröffentlicht: (2023)

The CCAP for graph products of operator algebras
von: Borst, Matthijs
Veröffentlicht: (2022)

P. Jones' interpolation theorem for noncommutative martingale Hardy spaces II
von: Randrianantoanina, Narcisse
Veröffentlicht: (2024)

Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
von: Houdayer, Cyril, et al.
Veröffentlicht: (2010)

Injective Envelopes of $C^*$-algebras as Operator Modules
von: Frank, Michael, et al.
Veröffentlicht: (2001)

The linking von Neumann algebras of W*-TROs
von: Wang, Liguang, et al.
Veröffentlicht: (2024)

Rokhlin Dimension and Inductive Limit Actions on AF-algebras
von: M, Sureshkumar, et al.
Veröffentlicht: (2024)

A solution to Haagerup's problem and positive Hahn-Banach separation theorems in operator algebras
von: Choi, Ikhan
Veröffentlicht: (2025)

$C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras
von: Griseta, Maria Elena, et al.
Veröffentlicht: (2024)

The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
von: Aguilar, Konrad, et al.
Veröffentlicht: (2026)

A New Geometric Morita Invariant for Higher Rank Graph $C^*$-algebras
von: Amann, Mackenzie, et al.
Veröffentlicht: (2024)

Gauge-invariant ideal structure of C*-algebras associated with proper product systems over $\mathbb{Z}_+^d$
von: Dessi, Joseph A.
Veröffentlicht: (2026)

Non-isomorphism of reduced free group $C^\ast$-algebras
von: Gao, David, et al.
Veröffentlicht: (2026)

On some free products of von Neumann algebras which are free Araki-Woods factors
von: Houdayer, Cyril
Veröffentlicht: (2006)

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras
von: Castillejos, Jorge, et al.
Veröffentlicht: (2025)

Operator Algebras of Universal Quantum Homomorphisms
von: Fima, Pierre, et al.
Veröffentlicht: (2024)

The Hao-Ng isomorphism theorem for reduced crossed products
von: Dor-On, Adam, et al.
Veröffentlicht: (2025)

Peripheral Poisson Boundary on Full Fock space
von: Ghosh, Mainak
Veröffentlicht: (2024)

Operational 2-local automorphisms/derivations
von: Wang, Liguang, et al.
Veröffentlicht: (2024)

A noncommutative construction of families of biunitary matrices and application to subfactors
von: Bakshi, Keshab Chandra, et al.
Veröffentlicht: (2025)

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications
von: Klisse, Mario
Veröffentlicht: (2025)

On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections
von: Bakshi, Keshab Chandra, et al.
Veröffentlicht: (2023)

Examples of compact quantum groups with $\operatorname{\mathsf{L}^{\!\infty}}(\mathbb{G})$ a factor
von: Krajczok, Jacek, et al.
Veröffentlicht: (2022)

Rokhlin Dimension: Permanence Properties and Ideal Separation
von: M, Sureshkumar, et al.
Veröffentlicht: (2023)

On spectral flow for operator algebras
von: Ng, Ping Wong, et al.
Veröffentlicht: (2023)

On hyperrigidity and non-degenerate C*-correspondences
von: Dessi, Joseph A., et al.
Veröffentlicht: (2025)

Equivariant Nica-Pimsner quotients associated with strong compactly aligned product systems
von: Dessi, Joseph A., et al.
Veröffentlicht: (2023)

Weakly-monotone C*-algebras as Exel-Laca algebras
von: Crismale, Vitonofrio, et al.
Veröffentlicht: (2024)

Universal C*-algebras generated by doubly non-commuting isometries
von: de Jeu, Marcel, et al.
Veröffentlicht: (2024)

A geometric characterisation of real C*-algebras
von: Chu, Cho-Ho
Veröffentlicht: (2024)

Nuclear dimension of extensions of commutative C*-algebras by Kirchberg algebras
von: Evington, Samuel, et al.
Veröffentlicht: (2024)

Gluing topological graph C*-algebras
von: Gothe, Atul, et al.
Veröffentlicht: (2025)

Structure of ${\rm II_1}$ factors arising from free Bogoljubov actions of arbitrary groups
von: Houdayer, Cyril
Veröffentlicht: (2012)

Non-commutative Intermediate Factor theorem associated with $W^*$-dynamics of product groups
von: Amrutam, Tattwamasi, et al.
Veröffentlicht: (2025)

The admissible KMS bundles on classifiable C$^*$-algebras
von: Neagu, Robert
Veröffentlicht: (2024)

Asymptotic structure of free Araki-Woods factors
von: Houdayer, Cyril, et al.
Veröffentlicht: (2014)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"99d9ff75d149f58ec3d2de810bf21397"
ui	"standard"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790847211.1974 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "99d9ff75d149f58ec3d2de810bf21397" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=99d9ff75d149f58ec3d2de810bf21397; ui=standard; language=de"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"5299"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2310_06454/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2310_06454/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790847211.1933
REQUEST_TIME	1790847211

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler