Induced Representation of Topological groupoids

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sridharan, K. N., Kumar, N. Shravan
Format:	Preprint
Published:	2025
Subjects:	Operator Algebras Functional Analysis Primary 18B40, 22A30, Secondary 46L08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Weak containment of representation on topological groupoids
by: Sridharan, K. N., et al.
Published: (2025)

Orlicz Space on Groupoids
by: Sridharan, K. N., et al.
Published: (2025)

On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads
by: Bédos, Erik, et al.
Published: (2025)

C$^*$-diagonals in AH-algebras arising from generalized diagonal connecting maps: spectrum and uniqueness
by: Raad, Ali Imad
Published: (2023)

Representations of C*-correspondences on pairs of Hilbert spaces
by: Delfín, Alonso
Published: (2022)

Orthogonality preserving property for pairs of operators on Hilbert $C^*$-modules
by: Frank, Michael, et al.
Published: (2017)

Angle Preserving Mappings
by: Moslehian, Mohammad Sal, et al.
Published: (2015)

Twisted Fourier(-Stieltjes) spaces and amenability
by: Lee, Hun Hee, et al.
Published: (2019)

C*-submodule preserving module mappings on Hilbert C*-modules
by: Frank, Michael
Published: (2025)

Z-stability of twisted group C*-algebras of nilpotent groups
by: Enstad, Ulrik, et al.
Published: (2025)

Differential Norms and Rieffel Algebras
by: Cabral, Rodrigo A. H. M., et al.
Published: (2021)

Tracial States and $\mathbb{G}$-Invariant States of Discrete Quantum Groups
by: Anderson-Sackaney, Benjamin
Published: (2022)

Quantum metrics from length functions on étale groupoids
by: Austad, Are
Published: (2026)

Bounded modular functionals and operators on Hilbert C*-modules that are regular
by: Frank, Michael, et al.
Published: (2026)

Twisted operator algebras of self-similar groupoid actions on arbitrary graphs
by: Kwaśniewski, B. K., et al.
Published: (2025)

Algebraic actions I. C*-algebras and groupoids
by: Bruce, Chris, et al.
Published: (2022)

Actions of Fell bundles
by: Bédos, Erik, et al.
Published: (2025)

Positive definiteness and Fell bundles over discrete groups
by: Bédos, Erik, et al.
Published: (2024)

Representations of *-semigroups associated to invariant kernels with values continuously adjointable operators
by: Ay, Serdar, et al.
Published: (2015)

Wold-type decomposition for doubly twisted left-invertible covariant representations
by: Kumar, Niraj, et al.
Published: (2026)

Applications of compact multipliers to algebrability of $(\ell_{\infty}\setminus c_0)\cup\{0\}$ and $(B(\ell_2(\mathbb{N}))\setminus K(\ell_2(\mathbb{N}))\cup \{ 0\}.$
by: Franca, Willian, et al.
Published: (2025)

A separation theorem for Hilbert $W^*$-modules
by: Eskandari, Rasoul, et al.
Published: (2024)

Topological Boundaries of Representations and Coideals
by: Anderson-Sackaney, Benjamin, et al.
Published: (2023)

Measures of noncompactness in Hilbert $C^*$-modules
by: Kečkić, Dragoljub J., et al.
Published: (2024)

Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals
by: Frank, Michael
Published: (2022)

Cyclicity of stable matrix free polynomials over non-commutative operator unit balls
by: Sampat, Jeet, et al.
Published: (2026)

$L^p$-modules and $L^p$-correspondences
by: Delfín, Alonso
Published: (2024)

Harmonic analysis and automatic continuity in the context of generalized differential subalgebras
by: Flores, Felipe I.
Published: (2025)

On weakly amenable groupoids
by: Pacheco, Tomás
Published: (2025)

$C^*$-correspondences for ordinal graphs
by: Jones, Benjamin
Published: (2026)

Non-Commutative Maximal Inequalities for State-Preserving Actions of amenable groups
by: Bikram, Panchugopal, et al.
Published: (2025)

Convergence of inductive sequences of spectral triples for the spectral propinquity
by: Farsi, Carla, et al.
Published: (2022)

Domains of quantum metrics on AF algebras
by: Aguilar, Konrad, et al.
Published: (2024)

Kernel Radon-Nikodym Derivatives for Random Matrix Products
by: Tian, James
Published: (2025)

Jordan Decomposition for WBV-functions in Ordered Normed Spaces
by: Kumar, Amit
Published: (2025)

Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras
by: Kuzma, Bojan, et al.
Published: (2026)

On Rieffel's conjecture characterizing a deformed algebra as Heisenberg smooth operators
by: Cabral, Rodrigo A. H. M., et al.
Published: (2023)

On Essential and Topologically Essential Submodules of Hilbert C*-Modules
by: Kartvelishvili, Kirill
Published: (2026)

A note on finite-dimensional quotients and the problem of automatic continuity for twisted convolution algebras
by: Flores, Felipe I.
Published: (2024)

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
ui	"standard"
language	"en"
VUFIND_SESSION	"5a73774b59973a6ec21ec27ab1377fe9"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790752368.0018 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "5a73774b59973a6ec21ec27ab1377fe9" ]`]
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	"ui=standard; language=en; VUFIND_SESSION=5a73774b59973a6ec21ec27ab1377fe9"
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	"7020"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2503_11403/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2503_11403/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790752367.9973
REQUEST_TIME	1790752367

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"5a73774b59973a6ec21ec27ab1377fe9"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790752368.0018 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "5a73774b59973a6ec21ec27ab1377fe9" ]`]
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	"ui=standard; language=en; VUFIND_SESSION=5a73774b59973a6ec21ec27ab1377fe9"
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	"7020"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2503_11403/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2503_11403/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790752367.9973
REQUEST_TIME	1790752367

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: